How do you factor an expression to the 4 exponent.

Answers

Answer 1

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).

Answer 2

Answer: How do you factor variables with exponents? To do this, take the greatest common factor of the numbers and the smallest exponent of each variable. 2. Divide the original expression by the greatest common factor. To do this, divide the coefficients, and subtract the exponents of the variables.

Explanation: Expressions with fractional or negative exponents can be factored by pulling out a GCF. Look for the variable or exponent that is common to each term of the expression and pull out that variable or exponent raised to the lowest power. These expressions follow the same factoring rules as those with integer exponents.


Related Questions

Combine the like terms to create an equivalent expression:
-12-6p-(-2)

Answers

Answer:-2(5+3p)

Step-by-step explanation:

-2(5+3p) trust me this is really simple if you just think about it

Gavyn drivers at a speed of 50 miles per hour. How long will it take to drive 225 miles

Answers

Answer:

4.5hours - 4h30 min

Step-by-step explanation:

Doing the math: 225 miles : 50 miles per hour = 4.5 hours

Thinking about it: 50 mph means that it takes 1 hour to do 50 miles. in 2 hour he travels 100. double again, it's 4 hours for 200 miles. Then there's 25 left, so half an hour. 4.5 hours or 4h30min

Write the prime factorization of 315.

315 =
Write the prime factorization of 315.

315 =
Write the prime factorization of 315.

315 =
Write the prime factorization of 315.

315 =

Answers

3 exponent 2 × 5 exponent 1 × 7 exponent 1

titan won 9 games last year and average eight this year write equation for the number of wins they can except to have after X year

Answers

Step-by-step explanation:

x = how many games won last year

x - 1 = how many games won each year

PLS HELP WILL MARK YOU BRAINLIEST!!!

Answers

I believe it’s D because the notation should be outside the parenthesis

ok its either D or B but i think its D. Most likely.

b
– 2 =
7
8

Write your answer as a fraction or as a whole or mixed number.

b =

Answers

Answer:80

Step-by-step explanation:

Simplify the following expression. (0.5x – 3)(0.5x + 3)​

Answers

Answer:

0.25x^2-9

Step-by-step explanation:

Difference of squares converse:

0.25x^2-9

Answer:

0.25x^2-9

Step-by-step explanation:

multiply 0.5x with 0.5x which is 0.25x^2. then multiply 0.5x with 3 which is 1.5x. then multiply -3 with 0.5x which is -1.5x. then multiply -3 with 3 which is 9. so you will have 0.25x^2+1.5x-1.5x-9.

1.5x and -1.5x is 0. so you are left with 0.25x^2-9

Doctors are interested in determining if the human body temperature is really 98.6 degrees. he selects 30 students and records their temperature using a digital thermometer. what type of test would they conduct to test this claim?

Answers

Answer:

I think its one mean, if it's not I'm very sorry

In order to corroborate his assertion that the average body temperature is lower than 98.6 degrees Fahrenheit, the croaker created a test statistic.

What's Test Statistic?

A test statistic is a figure attained from a statistical analysis. It explains how far your observed data is from the null thesis, which states that there's no correlation between the variables or distinction between the sample groups.

Test statistics are statistics that are produced from samples to determine whether or not to accept the null thesis.

A sample is data that represents a portion of the population. In other words, it's a gauged - down interpretation of a larger group.

The croaker conducted a thesis test in order to corroborate the information that has been handed in the question. And he calculated the test statistic, or arbitrary data from the sample taken from the population data, for the thesis test.

Learn more about test statistic here:

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A man and his son are in the living room watching TV when the son asks his father a question.

"Dad, why is my sister's name Teresa?"

The dad thinks for a little bit and answers him.

"Well your mother loves Easter, and when you rearrange the letters in Teresa, you get Easter."

The son understands and says,"Thanks, dad."

The dad replies with,"No problem, Alan"

Answers

When we arrange Alan it brings out a dirty word

Answer:

so what is the q

Step-by-step explanation:

The mean vitamin C level for 20 dogs was 7.6 milligrams per liter, with a standard deviation of 2.1 milligrams per liter.

One dog’s vitamin C level was not in the normal range. It was 0.9 milligrams per liter, which is a very low level of vitamin C.

If the value 0.9 is eliminated from the data set, does the mean increase or decrease?

Your answer:
I will give you 5.0 and a thanks and maybe brainliest

Answers

Answer:  The mean increases.

Step-by-step explanation:

The value of 0.9 mg/L is very low compared to a means of 7.6 mg/L with a standard deviation of 2.1 mg/L.  It seems as though it is an outlier that is suffiently different from the others, and probably should be dropped from the data set.  That would do 2 things:  1) the stabdard deviation will likely decrease, indicating a more confident data set, and 2) the mean vitamin C level will increase.

Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.

Answers

Answer:

80,775

Step-by-step explanation:

I= (22,825) (0.0403) (63)

I= 57,950

P+I=A

I= A+P

I= 22,825 + 57,950

I= 80,775

I need the answer if you know write with explination if you don't know don't answer ​

Answers

Answer:

ABD ≅ ACD and PQS ≅ PRS

Step-by-step explanation:

For ABD ≅ ACD;

AB = AC = 3.5

BD = CD = 2.5

AD ≅ AD by reflexive

Since all 3 sides are congruent, SSS can be used

For PQS ≅ PRS

PQ≅PR by given

QS≅RS by given

PS≅PS by reflexive property

Since all 3 sides are congruent, SSS can be used and they are congruent

What is the slope of the line that passes through the points (-6, -8)and (-14, 4) ? Write your answer in simplest form.

Answers

Answer:

Slope = -3/2

Step-by-step explanation:

[tex]Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}[/tex]

[tex]Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\[/tex]

-Chetan K

e^ln(5x) =

5x
ln(5)
5ln(x)
ln(x)

Answers

Answer:

5x

Step-by-step explanation:

The natural log of 5x is the exponent to give e to get 5x as a result.  You are simply applying the definition of logarithm

The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.

Option: A is correct.

Here, we have,

The expression [tex]e^{ln(5x)[/tex] involves two important mathematical properties:

[tex]e^{ln(x)} = x[/tex]:

This is a fundamental property of the natural logarithm and the base of the natural exponential function, e.

When the natural logarithm (ln) and the natural exponential function [tex](e^x)[/tex] are composed, they "cancel out," and the result is the argument inside the ln function (x).

[tex]e^0 = 1[/tex]:

The natural exponential function raised to the power of 0 is equal to 1.

Now, let's simplify the expression step by step:

[tex]e^{ln(5x)[/tex]

Using property 1,[tex]e^{ln(5x)[/tex] simplifies to:

5x

Therefore, the correct option is "5x."

The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.

Option: A is correct.

To learn more on Expression click:

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Ill reward you a bounty of 100 points! plus brainiest if you are the first one to answer my question:

Part 1
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.

Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.

Part 2
Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing.

Part 3
Solve the question that you posed in Part 1. Show all of your steps in answering the question.

For this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps.
*Please note that your instructor is looking for your own original idea. While it is acceptable to use the Internet for research and inspiration, academic integrity policies apply.

Answers

Answer:

The real-world scenario is given as: A yacht traveling 20 miles due east off a harbor is located 50 miles due north from the yacht

Recall:

Pythagorean Theorem applies to a right triangle where and c is the hypotenuse.

If we know the two of the three side lengths of a right triangle, we can find the other third length.

An example of a scenario where the Pythagorean Theorem can be applied to solve a real-world problem can be sketch in a diagram

Therefore:

The real-world scenario is given as: A yacht traveling 20 miles due east off a harbor is located 50 miles due north from the yacht

Step-by-step explanation:

#Nova

Have a good day

What is 121 divided by 18?

Answers

Answer:

6.7222222222

Step-by-step explanation:

This Maths Is Easy, Y Did You Post It?

Answer:

=6.7222222222

Step-by-step explanation:

Easy peesy lemon squezy!

How many 7-letter passwords can you make from the letters A, B, C, D, E, F and G, if letters CANNOT be repeated?

Answers

5040 passwords, if 7 is n, n(n-1)(n-2)(n-3)(n-4)(n-5)(n-6). Answer is 5040

Given the sequence 3, 1,-1, -3, ... use the arithmetic sequence formula to write an equation.
Then, find a32.

Answers

Answer:

a₃₂ = - 59

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 1 - 3 = - 2 , then

[tex]a_{n}[/tex] = 3 - 2(n - 1) = 3 - 2n + 2 = - 2n + 5

Then

a₃₂ = - 2(32) + 5 = - 64 + 5 = - 59

Does anyone know this answer??

Answers

Answer:

(2, -9)

Step-by-step explanation:

2 - (-9) > 8      First, substitute the values for x and y.

2 + 9 > 8        

11 > 8              The inequality is true, so (2, -9) is the correct pair.

Answer:

Answer is C

Step-by-step explanation:

basically you substitute (X,Y) in X-Y >0. so X-Y should be greater than 0. also, make sure you use the signs properly.

so in C. 3--10 > 0 so negative sigs cancel each other out so its 3+10 so 13> 0

Hi I was wondering if I could get some help with this question please 26POINTS!!
PLEASE HELP
given the parent function f(x)=√x and a new function g(x)=√x+6+3. Select from the drop-down menus to correctly describe the changes on the graph from f(x) to g(x).

The graph will shift 6 unit______and 3 units______.
choices:up up
down down
left left
right right

Answers

Answer:

The graph will shift 6 unit  left   and 3 units    left

Step-by-step explanation:

[tex]g(x) = \sqrt{x+6+3}[/tex]

Joe was looking through a numeric puzzle
book and found the following puzzle. The
sum of two numbers is two. The difference
of the two numbers is also two. What are
the two numbers?

Answers

0 and 2

Step-by-step explanation:

If you subtract 2 by 0 then it will equal 2 and if you add 2 to 0, you also have 2.

package of 11 wristbands costs $405.94. At this rate, what is the cost of 1 wristband in dollars and cents?

Answers

Answer:

36.90

Step-by-step explanation:

Pls help, I need (c) of the problem 3-106

Answers

Answer:

Negative x minus two

Step-by-step explanation:

3 - (x + 5)

Distribute the negative sign:

3 - x - 5

Simplify:

-x - 2

In words:

Negative x minus two

help me with this plsssss

Answers

Answer:

y=1/2x+-5 is A

y=-2/3x+1 is B

y=4x+3 is C

y=2x+6 is D

ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

the answer is 1/10 :))))))))

Add.

310+(−720)

Enter your answer as a fraction, in simplified form, in the box.

Answers

Answer:

-410/1

Step-by-step explanation:

Hey there!

Question :-

[tex]310 + ( -720)[/tex]

We need to solve this arithmetic expression,as a fraction.

Solution:-

[tex] \sf \longmapsto310 \: + ( - 720)[/tex]

Note that (+) and (-) equals to (-).

New Arithmetic expression will be :-

[tex]\sf \longmapsto310 + (720)[/tex]

Remove the parenthesis :-

[tex]\sf \longmapsto310 - 720[/tex]

Calculating the Subtraction:-

[tex]\sf \longmapsto310 - 720[/tex]

As 310 < 720, 720 contains (-) sign. Therefore, The Solution will be -410 not 410.

[tex]\sf \longmapsto - 410[/tex]

Converting to Fraction:-

[tex]\sf \longmapsto \: - 410[/tex]

[tex]\sf \longmapsto \: \dfrac{410 \times 1}{1 \times 1} [/tex]

[tex]\sf \longmapsto - \dfrac{410}{1} [/tex]

On Simplification of this Fraction:-

[tex]\sf \longmapsto \cancel \dfrac{ - 410}{1} [/tex]

On Cancelling , -410 Is the result.

[tex]\sf \longmapsto - {410} [/tex]

______________________________________

Henceforth , the answer of the arithmetic expression Will be :-(Simplified)

[tex]\boxed{\bf-{410} }[/tex]

________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

The sum of twice a numbet n, and 14 ls 30 write an equation that models this
statement. Then explain how you might use reasoning to find the value of

Answers

Answer:

2n + 14 = 30

n = 8

Step-by-step explanation:

When the question says twice a number n, that means 2 * n = 2n.

Then when it says the sum of 2n and 14, that means 2n + 14.

Then they said that the sum of 2n + 14 = 30

If you want to find the value of n, subtract 14 from both sides:

2n = 16

Then divide by 2 on both sides:

n = 8

I hope this helps!

How long does it take to get sat results.

Answers

13 days after you take the SAT

what is the common denominator 4/15 and 1/3? Need answers ASAP​

Answers

Answer:

15

Step-by-step explanation:

To find the common denominator we look for the LCM

15: 15,30,45,60

3: 3,6,9,12,15

Our LCM is 15

Meaning our LCD is 15

Brainliest please :)

Use mental math to find the partial products 3,000 x 5=

Answers

Answer:

15,000

Step-by-step explanation:

3 times 5 is 15, just add the 3 zeros.

15,000 is the partial product of 3000*5.

What is partial products?

A partial product is a product obtained when we multiply a multiplicand by one digit of a multiplier that has more than one digit.

Given that, 3000*5

3000*5 = 15000

Hence, the partial product of 3000*5 is 15000.

For more references on partial product, click;

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Any invalid user entries should generate an appropriate message, and the user should be required to reenter the data.using System;using static System.Console;class GreenvilleRevenue{static void Main(string[] args){const int fee = 25;int lastYearsContestants;int thisYearsContestants;const int LOW = 0;const int HIGH = 30;int other = 0;int dancer = 0;int musician = 0;int singer = 0;WriteLine("**********************************");WriteLine("* The stars shine in Greenville. *");WriteLine("**********************************");WriteLine("");lastYearsContestants = getContestantsNum(message, LOW, HIGH);string[] contestant = new string[thisYearsContestants];string[] talent = new string[thisYearsContestants];getContestantsInfo(contestant, talent);for (int x = 0; x < talent.Length; ++x){if (talent[x] == "O"){++other;}else if (talent[x] == "S"){++singer;}else if (talent[x] == "D"){++dancer;}else if (talent[x] == "M"){++musician;}}Clear();WriteLine("Currently signed up, there are..");WriteLine("{0} dancers", dancer);WriteLine("{0} singers", singer);WriteLine("{0} musicians", musician);WriteLine("{0} everything else!", other);contestantByTalent(contestant, talent);Clear();contestantInfo(thisYearsContestants, lastYearsContestants, fee);}static int getContestantsNum(string message, int LOW, int HIGH){WriteLine("Please enter the number of contestants for last year.>>");string input = ReadLine();int contestantsNum = Convert.ToInt32(input);while (contestantsNum < LOW || contestantsNum > HIGH){WriteLine("Valid numbers are 0 through 30, Please try again.>>");contestantsNum = Convert.ToInt32(ReadLine());}return contestantsNum;WriteLine("Please enter the number of contestants for this year.>>");string input = ReadLine();int contestantsNum = Convert.ToInt32(input);while (contestantsNum < LOW || contestantsNum > HIGH){WriteLine("Valid numbers are 0 through 30, Please try again.>>");contestantsNum = Convert.ToInt32(ReadLine());}return contestantsNum;}static string getTalent(int contestantsNum){bool correct = false;string talentType = "";while (!correct){WriteLine("What is contestant " + contestantsNum + "'s skill? 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Valid talent codes are (S)inger, (D)ancer, (M)usician, (O)ther; altenatively, you may type (E) to exit.>>");entry = ReadLine().ToUpper();if (entry == "E")break;}for (int x = 0; x < talent.Length; ++x){if (entry == talent[x])WriteLine("Contestant " + contestant[x] + " talent " + talent[x]);}WriteLine("To see a list of all contestants with a specific talent, Please enter a talent code. talent codes are (S)inger, (D)ancer, (M)usician, (O)ther; altenatively, you may type (E) to exit.>>");entry = ReadLine().ToUpper();}}static void getContestantsInfo(string[] contestant, string[] talent){for (int x = 0; x < contestant.Length; ++x){WriteLine("What is the name for Contestant " + (x + 1) + "?");contestant[x] = ReadLine();talent[x] = getTalent(x + 1);}}static void contestantInfo (int thisYearsContestants, int lastYearsContestants, int fee){if (thisYearsContestants > lastYearsContestants * 2){WriteLine("The competition is more than twice as big this year!");WriteLine("The expected revenue for this year's competition is {0:C}", (thisYearsContestants * fee));}elseif (thisYearsContestants > lastYearsContestants && thisYearsContestants In a _____, there is no skipping or repeating instructions. 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