Evaluate 5^-4. Write your answer as a fraction in simplest form

Answers

Answer 1

Answer:

exact form = 1/625

decimal form = 0.0016

Answer 2

The expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]

From the question,

We are to evaluate 5^-4.

First, we will write the expression properly.

The given expression is 5⁻⁴

Now, we will write the expression as a fraction

From one of the laws of indices, we have that

[tex]a^{-x} =\frac{1}{a^{x} }[/tex]

Therefore,

[tex]5^{-4} =\frac{1}{5^{4} }[/tex]

In simplest form

[tex]\frac{1}{5^{4} } = \frac{1}{625}[/tex]

Hence, the expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]

Learn more on simplifying expressions here: https://brainly.com/question/12985890


Related Questions

a well is being dug into the ground. the well needs to reach the depth of 120 feet. a machine can dig down in 12 minutes. what is the change in depth each minute the machine is digging​

Answers

Answer:

10 feet

Step-by-step explanation:

The matrix below represents the solution to a system of equations.

Which of the following describes the solution?

Answers

Answer: C

Step-by-step explanation:

bsolute Value is the distance from
ero - whether to the right or left on a
umber line - it's the SAME distance
nd DISTANCE is always ....
Positive or negative

Answers

Answer:

The negative integers go to the left: , , , and so on. The distance between a number's place on the number line and is called the number's absolute value The absolute value of a number is its distance from 0 on a number line..

Step-by-step explanation:

Negative

I hope this helps :)

Solve inequalities 5x>2x+6

Answers

Answer:

x>2

Step-by-step explanation:

5x>2x+6 Subtract 2x from 5x

3x>6 Divide 3 by 6

x>2

Answer:

B. April

Step-by-step explanation:

3193.55767741 round to the nearest thousand

Answers

Answer:

3000

Step-by-step explanation:

Rounding to the nearest thousand implies not writing any significant figure after the digit located in the column of the thousand. In this case, what you have in that column is the number 3 (which is followed by a 1 in the column of the hundreds) so you need to round the number to 3000.

If the number that followed the 3 was 5 or larger, you would have rounded it to 4000.

Answer:

3,000

Step-by-step explanation:

The answer is 3,000 because:

1) The number in the hundreds place is 1, which is less than 5. Therefore, the number in the thousands place stays the same.

2) Whenever you are rounding with decimals, you have to leave the numbers after the decimal point.

Hope this helps!

An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of the congruent angles. An equation is _______ = 180. Angles congruent with each measure ________

Answers

Hey there! I"m happy to help!

The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.

We subtract 138 from both sides.

2x=42

We divide both sides by 2

x=21.

Have a wonderful day! :D

If g(x)=x^2+5x find the value g(-2)+2

Answers

Answer:

-4

Step-by-step explanation:

g(-2) =  (-2)^2 + 5(-2)

g(-2) = 4 - 10

g(-2) = -6

and

g(-2) + 2

-6 + 2 = -4

Answer:

-4

Step-by-step explanation:

g(x)=x^2+5x

First find g(-2) by letting x=-2

g(-2) = (-2)^2 +5(-2)

       = 4 -10

      = -6

g(-2) +2 = -6+2 = -4

ANSWER ASAP!!!!
PLEASE INCLUDE STEP BY STEP EXPLANATION
DO A.

Answers

Answer:

57

Step-by-step explanation:

I prefer the equation in this format

[tex] \frac{3 |m - 2 {n}^{2} | }{4} [/tex]

substitute -4 for m and 6 for n

[tex] \frac{3 | - 4 - 2( {6}^{2}) | }{4} [/tex]

square the 6 then multiply by 2

[tex] \frac{3 | - 4 - 72| }{4} [/tex]

solve inside the absolute value then multiply by 3

[tex] \frac{3 | - 76| }{4} [/tex]

[tex] \frac{228}{4} [/tex]

divide by 4

[tex]57[/tex]

If -3x–7 =23 then 6x=?

Answers

Answer:

6x = -60

Step-by-step explanation:

-3x - 7 = 23

-3x = 30

x = -10

6(-10) = -60

1. In how many ways can a committee of eight people to be formed from a group of 6 male, 5 female and 4 students if there are no restrictions, as all members are eligible?

Answers

Answer:

The number of ways is 6435

Step-by-step explanation:

Given

[tex]Male = 6[/tex]

[tex]Female = 5[/tex]

[tex]Students = 4[/tex]

Required

Number of ways a group of 8 can be formed

Here, I'll assume each category of people are distinct:

Hence;

[tex]Total = Male + Female + Students[/tex]

[tex]Total = 6 + 5 + 4[/tex]

[tex]Total = 15[/tex]

Number of ways is then calculated as follows:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

Where

[tex]n = 15\ and\ r = 8[/tex]

So, we have:

[tex]^{15}C_8 = \frac{15!}{(15 - 8)!8!}[/tex]

[tex]^{15}C_8 = \frac{15!}{7! * 8!}[/tex]

[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9 * 8!}{7!8!}[/tex]

[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7!}[/tex]

[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7 * 6 *5 * 4 * 3 * 2 * 1}[/tex]

[tex]^{15}C_8 = \frac{32432400}{5040}[/tex]

[tex]^{15}C_8 = 6435[/tex]

Hence, the number of ways is 6435

Find the difference of -4 -(5)

Answers

The answer is -9

-4 - 5 = -9

the answer is -4-(5)= -9

A local traffic light is set so that it cycles between 30 seconds of red and 30 seconds of green. What is the probability of randomly hitting a red light more than 25 times in n = 40 trips through the intersection?

Answers

Answer: 0.04

Step-by-step explanation:

Number of trips (n) = 40

Red = 30 seconds, Green = 30 seconds

P(red) = p(green) = 30/ (30+30) = 0.5

P(not red) = p(not green) = 1 - 0.5 = 0.5

P(x) = nCx * p^x * (1-p)^(n-x)

n = number of trials

x = number of outcome desired

P = probability of success of desired outcome

P(X > 25) = P(26) + p(27) + p(28) +.... + p(40)

Hence, to save computation time, we use the binomial distribution probability calculator :

P(X > 25) = 0.04

A study by a group of cardiologists determined that maximal heart rate in humans, a parameter used as a basis for prescribing exercise programs, depends on age. Maximal heart rate is around 201 beats per minute for a 10-year-old, and decreases at a constant rate of 7 every 10 years. Which of the following inequalities best describes the ages, for which maximal heart rate is less than 180, a is >or equal to 10.. HELP

Answers

Answer:

208 - 0.7a < 180

Step-by-step explanation:

Find the missing number in the sequence
100, 93, 84, 73 45​

Answers

Answer:

60

Step-by-step explanation:

Form on number to the other there is a difference,and the difference are all odd numbers

From 100 to 93 is 7

From 98 to 84 is 9

From 84 to 73 is 11

From 73 to 45 is 28 this shows that there is a number missing

So from 73 to x should be 13

And from x to 45 should be 15

So 73 -13=60

And 60-15=45

So x is 60

The missing number in the sequence is 60

Given the sequence 100, 93, 84, 73, ... 45​

To get the next term, we need to get the common differences as shown:

7, 9, 11,... 15

We can see that the common difference forms an AP, hence the missing term in the resulting sequence is 13

To get the missing value, we will subtract 13 from 73.

Missing number  = 73 - 13

Missing number = 60

Hence the missing number in the sequence is 60

Learn more on sequence here: https://brainly.com/question/24989563

MATH

Please heeeeeeeeeeeelp​

Answers

Answer:

3.002 * 10⁵

Step-by-step explanation:

3 * 10⁵ = 3 * 10³ * 10² = 3000 *10²

3 * 10⁵ + 2* 10² = 3000 * 10² + 2*10²

                        = (3000 + 2) * 10²

                       = 3002 * 10²

                       = 3.002 * 10³ * 10²

                      = 3.002 * 10⁵

Name the property for the given statement 2(10 + 15) = 2(10) + 2(15)

Answers

Distributive property

8. A pizza shop charges $7.00 for a cheese pizza and $1.50 per topping. The total charge for Megan's pizza was $11.50. Write and solve on equation to determine how many toppings Megan ordered on her pizza. Variable: Equation: Solution:​

Answers

Answer:

Variable

x which stands for no. of toppings on pizza

equation

7 + 1.5x = 11.50

solution

the no. of toppings = 3

Step-by-step explanation:

Let the number of topping be x.

Cost of 1 topping = $1.50

Cost of x topping = x*Cost of 1 topping = $1.5*x = $1.5x

Cost of cheese pizza = $7.00

Total cost for cheese pizza for x topping = Cost of cheese pizza + Cost of x topping

Total cost for cheese pizza for x topping = 7 + 1.5x

Given that The total charge for Megan's pizza was $11.50

thus,

7 + 1.5x = 11.50

1.5x = 11.50 - 7

1.5x = 4.5

x = 4.5/1.5 = 3

Thus, there were three toppings

______________________________________

Variable

x which stands for no. of toppings on pizza

equation

7 + 1.5x = 11.50

solution

the no. of toppings = 3

Three sixth-grade students competed in the 100-meter dash. The table shows their times.
Which list shows the times in order from least to greatest?
Student
Time (seconds)
13.1
Tiana
James
13.2
Dakota
12.9
A. 13.2, 13.1, 12.9
B. 12.9, 13.2, 13.1
O
C. 12.9, 13.1, 13.2
O
D. 13.1, 13.2, 12.9

Answers

Answer:

It is 12.9, 13.1, 13.2 C.

Step-by-step explanation:

List C shows the times in order from least to greatest i.e. 12.9, 13.1, 13.2.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that, three sixth-grade students competed in the 100-meter dash time taken by Tiana, James and Dakota will be 13.1, 13.2 and 12.9

The numbers are written in an ordered list according to their values when they are arranged from least to greatest.

The smallest number should be written on the left, followed immediately by the next smallest number. Numbers should be ordered from lowest (first) to highest (last). It is known as "Ascending Order."

The numbers are arranged as 12.9< 13.1 < 13.2

Thus, list C shows the times in order from least to greatest i.e. 12.9, 13.1, 13.2.

Learn more about the number here:

brainly.com/question/17429689

#SPJ2

A. B. ​ ​ 4 x ​ +1 x+4 ​ =−3 =−12 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answers

Answer:

D. Multiply/divide both sides by the same non-zero constant

A. Yes

Just Did It On Khan Academy

Step-by-step explanation:

Zoo tickets for five people cost a total of $41 which equation can be to to tell me the cost see in dollars of each ticket

Answers

Answer:

41 divided by 5

$41 divided by 5 people is equal to $8.2 per person

Step-by-step explanation:

It’ll cost about $8.20 for each person entering the zoo toy divide 41 by 5 then you’ll get 8.2 and to make it accurate you turn it into $8.20

Explain howto use friendly percents to find 35% of 80

Answers

Answer:

28

Step-by-step explanation:

35% × 80 =

(35 ÷ 100) × 80 =

(35 × 80) ÷ 100 =

2,800 ÷ 100 =

28

I hope this helps :)

Answer:

You would have to add two different percents to get to 35. You would need to add 25% and 10%. So, I would divided 80 by 4, which gets me 20, and divided 80 by 10, which gets me 8. If you add 20 and 8 together, that gets you 28. Your answer is 28.

Not sample answer, but correct

Find an equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 2; containing the point (-8,2)
What is the equation of the line?
y=
(Type your answer in slope-intercept form.)

Answers

Answer

Y = 2x-8

Step-by-step

4c-d for c please help!

Answers

Answer:

c=d/4

Step-by-step explanation:

we have to get c by itself...first we have to add d t the other side of the equation so

4c=d now since 4 is being multiplied by c we have to divide it out.

c=d/4

State how many solutions, 3 + 2x + 1 = 2x + 3

Answers

Answer:

Step-by-step explanation:

3 + 2x + 1 = 2x + 3

2x + 4 = 2x + 3

4 ≠ 3

no solution

I need to find the surface area of the square pyramid!
(I know I'm stupid lol)

Answers

Answer:

L = 260 cm^2

Step-by-step explanation:

height h = 12 cm

slant height s = 13 cm

side length a = 10 cm

lateral edge length e = 13.928388277184 cm

1/2 side length r = 5 cm

volume V = 400 cm^3

lateral surface area L = 260 cm^2

base surface area B = 100 cm^2

total surface area A = 360 cm^2

Genda: h = height

s = slant height

a = side length

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

What is the denominator For these problems ?

Answers

Answer:

10, 6, 6, 12, 8, 3, respectively

Step-by-step explanation:

The denominator is the bottom number in a fraction.

Find value of X. write answer in simplest form

Answers

x is a substitute for 1,

Answer:

The answer is X

Step-by-step explanation:

Find a − b when a = −7 and b = 11.

Answers

Answer:

-18

Explanation:

a - b

a = -7

b = 11

Insert -7 for 'a' and 11 for 'b'

-7 - 11

= -18

ca
7. Consider the equation a-3 =
What value(s) of a make the equation true?
(3)?

Answers

It’s true because of the a

Find the Slope using the Slope Formula 1. (8.6).(2-8)​

Answers

Answer: 2.3 repeating

Please mark me as Brainliest

Other Questions
HELP!!! Will give brainliest!!! How do you slove a two step equation with fractions involved? Meter #1 can measure voltage to within 0.1 volts. Meter #2 can measure voltage to within 0.01 volts.A.) Which meter has the greatest precision?B.) Which meter is more accurate? Why? M is between L and N. If LN = 91 and LM = 23, find MN. Who is the father of physics? Explain why you think that Armitage stops using rhyming couplets as the poem manhunt progresses. Como pueden nadar los hospedues del hotel One of the most spectacular and least known hummingbirds is the Marvelous Spatuletail, Loddigesia mirabilis, found in only in a single remote valley in northern Peru (see photo below). In this valley the mean density is 3 spatuletails per 100-hectare quadrat. (a) What is the probability a random quadrat contains less than 3 spatuletails The sum of five consecutive integers is five. What is the product of the five integers? Solve the equation below. -1/5x-18=2 HELP PLS I NEED IT FOR TODAYY!!!! escribe un sintesis/resumen del cuento La Insolacion de Horacio Quiroga Is this correct as well? which expressions are equivalent to 2? Choose ALL that apply. 6 6 6 6 6 6 2.2.2.2.2.2 2.6 4.16 12 - 12 8.8 5 impacts of deuki pratha? what is 5 I really need help guys If Thomson was asked about Dalton's Atomic Theory, what would he say? (2+ sentences) why did mongols have a more egalitarian culture Which of the following correctly use conjunctions and punctuation? Check all that apply.China's one-child policy has had an impact on families, it was instituted in 1970 to control population growth.Since it was instituted in 1970 to control population growth, China's one-child policy has had an impact on families.China's one-child policy has had an impact on families since it was instituted in 1970 to control population growth.O China's one-child policy has had an impact on families, when it was instituted in 1970 to control population growth. Write each number as a product of primes 1. 120 2. 160 I have a buddy who recycles electronics, and isolates metals from the connector pins electrical boards. He isolates gold, for example, and purifies it the best he can, then sells it along with his other scrap metal. This last go around he was able to isolate 3.00 g of Au with a process he claims results in a 80.0% yield. If he is correct, what was his theoretical yield What are the 5 main steps in the formation of the Solar System?