Does anyone know the answer to this?

Does Anyone Know The Answer To This?

Answers

Answer 1

Answer:

(B) The exponents should be subtracted by the quotient rule of exponents

Step-by-step explanation:

Let's examine how this was solved.

[tex](\frac{4^2 4^3}{4^{-5}})^2[/tex]

He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.

[tex]\frac{4^4 4^6}{4^{-10}}[/tex]

He then combined the numerator exponents. Exponent rules say that [tex]a^b \cdot a^c = a^b+c[/tex], so he should have ended up with [tex]4^{10}[/tex], which he did. This is correct.

[tex]\frac{4^{10}}{4^{-10}}[/tex]

Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have [tex]\frac{a^b}{a^c}[/tex], it equals [tex]a^{b-c}[/tex].

[tex]10 - (-10) = 10+10 = 20[/tex]

So the final answer should have been [tex]4^{20}[/tex]

Hope this helped!


Related Questions


A coordinate plane with a line passing through the points (0, negative 4) and (2, 2).
What is the equation of the graphed line written in standard form?

–3x + y = –4
y = 3x – 4
y + 3x = 4
3x – y = 4

Answers

Answer:

The answer is D

Step-by-step explanation:

The only logical explanation

Equation of the graphed line passing through the points (0, - 4) and (2, 2) is equals to  [tex]y = 3x - 4[/tex].

What is coordinate plane?

" Coordinate plane is defined as the two dimensional plane formed by number line named x-axis and y-axis."

Formula used

Standard equation of the line

[tex]\frac{y-y_{1} }{x-x_{1} } =\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

According to the question,

Points passing through coordinate plane,

[tex](x_{1} ,y_{1} ) = (0,-4)\\\\(x_{2} ,y_{2} ) = (2,2)[/tex]

Substitute the coordinates in the formula to get the equation of line ,

   [tex]\frac{y-(-4) }{x-0 } =\frac{2-(-4) }{2-0}[/tex]

⇒ [tex]\frac{y+4 }{x } =\frac{6 }{2}[/tex]

⇒[tex]y + 4= 3x[/tex]

⇒[tex]y=3x-4[/tex]

Hence, the equation of the line is [tex]y=3x-4[/tex].

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Define the variables you will use in your equation. (1 point) Let one variable be the distance away from the surface and the other variable be the temperature.

Answers

Answer:

whats the answer?

Step-by-step explanation:

The equation that represent the situation would be; 15+25d=t. Here the variable are d for distance and t for temperature.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that the surface temperature averages at 15 degrees Celsius and increases 25 degrees Celsius with each kilometer of depth.

We can conclude that the initial value is 15 it increases(+) by 25 to each kilometer(distance=d) of depth.

The equation becomes

15+25d=t.

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The complete question is;

The surface temperature averages at 15 degrees Celsius and increases 25 degrees Celsius with each kilometer of depth. Define the variables you will use in your equation. Let one variable be the distance away from the surface and the other variable be the temperature.

What is the equation of the line that passes through (0, 3) and (7,0)?

Answers

Answer:

Step-by-step explanation:

(0 - 3)/(7 - 0)= -3/7

y - 0 = -3/7(x - 7)

y = -3/7x + 3

!!30 POINTS!!
What is the intersection of planes ABG and BCD in the figure below?

Answers

d explanation: just is

Please help it would help out alot

Answers

Answer:

p = 2mr+q

Explanation:

You have to get p by itself. Multiply each side by r. Then add q to each side. You should get 2mr + q = p.

5) through: (-3, 3), slope = 0​

Answers

Answer:

3

Step-by-step explanation:

We know that -3 is on the x axis and 3 is on the y axis.

and the y axis usually determines if you are going to have a positive slope or negative since it would either rise or decrease. In this cause (-3, 3) shows that 3 is going to be our slope.

Answer:

y=3

Step-by-step explanation:

In a normal equation, y=mx+b, m=slope. If slope=0 in this equation, then it is safe to say that the equation is y=b. Since the Y coordinate is 3, then we can safely assume that the equation is equal to y=3

Find the midpoint of the segment with the following endpoints.
(-5,5) and (-10,2)

Answers

Answer: did you ever get the answer? i’m doing the same problem rn and i have no idea

Step-by-step explanation:

I WILL GIVE YOU BRAINLIEST How do you evaluate cube roots and square roots?

Answers

Answer:

Step-by-step explanation:

Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes.  And know that the square root of 2 is irrational.

Hope this helps! ^^

Find two consecutive even integers such that six times the first equals five times the second.

Answers

Answer:

4 and 6 are the two consecutive even integers

Step-by-step explanation:

Hi,

Let x represent the smaller of the two consecutive even integers, (x+2) the other

Write as we Read***

6x = 4(x+2)

solve for x

6x = 4x + 8

2x = 8

x = 4

checking our answer

6*4 = 4*6 = 24

how do you simplify -2

Answers

It's already simplified.

It’s already simplified

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true? The pool must have been empty for the entire interval. The pool must have been the same depth at the start of the interval as it was at the end of the interval. The pool must have been deeper at the end of the interval than it was at the start of the interval. The pool must have been more shallow at the end of the interval than it was at the start of the interv

Answers

Answer:The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

The average rate of change is calculated as:

[final value - initial value] / time interval.

Then, the average rate of change does not take into account intermediates values, and you cannot draw any conclusion about such intermediate values.

In the given case you have:

average rate of change in depth = [final depth - initial depth] / 2 weeks.

0 = [final depth - initial depth] / 2 weeks.

⇒ 0 = final depth - initial depth

⇒ final depth = initial depth.

That is why the conclusion is the second statement of the answer choices: the pool must have been the same depth at the start of the interval as it was at the end of the interval.

In between the pool might have been deeper, more shallow, empty or change in any form, since the average rate of change does not tell the full history but only the net change.

Answer:

The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

got it right on edge.

What is the length of the diagonal, d, of the rectangular prism shown below?
Round your answer to the nearest tenth - my god someone please help I’ve been up all night and just need sleep :(

Answers

Step-by-step explanation:

using Pythagoras theorem

d}^{2} =4}^{2+7}^{2}

d}^{2}=16+49

d}^{2}=65

d}^{2}=√65

[tex] \sqrt{d } ^{2} = \sqrt{65} [/tex]

d=8.06 or 8

Solve.

9.4 = - t/3.5

t =

Answers

solve for t is t= 329/10

Which of the following is a figure consisting of two rays with the same endpoint? Angle Circle Line Vertex

Answers

Answer:Angle

Step-by-step explanation:

The angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

It is given that

The figures are:

AngleCircleLineVertex

As we know the circle can be described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

From the definition of the angle; two lines or rays converge at the same point.

Thus, the angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture

Learn more about the angle here:

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Write an absolute value equation that has the given solution.
- 2 and 2

Answers

Answer:

|4| - 2 = 2

|4| - 6 = -2

Step-by-step explanation:

6t+5>23 I need this inequality solved thanks :))

Answers

Answer: t>3

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: t>3

Interval Notation: (3,∞)

Step-by-step explanation:

Write the original inequality.     6t + 5 > 23

Subtract 5 from each side to undo addition.     6t > 18

Divide each side by 6 to undo multiplication.     t > 3

So our answer is t > 3.

Help me please thank you

Answers

it should be 10 1/2 sorry if i’m wrong
the quarter of trail mix is 5 3/4

Write 10 3/8 as a decimal

Answers

Answer:

10.375

Step-by-step explanation:

3/8ths equal 0.375 and then you have ten as the whole number therefore you add the lower number onto the whole number and then you get your answer.

Solve the quadratic equation.
x^2 = -8x - 7
A. {7, -1}
B. {-1, -7}
C. {8,1}
D. {7,1}
E. (-8, -1}

Answers

Answer:

B, (-1, -7)

Step-by-step explanation:

Is 0.625 greater than 0.75

Answers

Answer:

no

Step-by-step explanation:

Given the midpoint and one endpoint. Find the other endpoint. B) Endpoint (-3,7), Midpoint (-1,-1)

Answers

Answer:

Step-by-step explanation:

(x - 3)/2 = -1

x - 3 = -2

x = 1

(y + 7)/2 = -1

y + 7 = -2

y = -9

(1, -9) the other endpoint

(3 5/9)÷(−2 2/3) help plz

Answers

Answer:

- 1 ¹/₃

Step-by-step explanation:

3 ⁵/₉ ÷ - 2²/₃

convert into improper fractions

32/9 ÷ - 8/3

apply the fraction rule:

32 / 9  x  -3 / 8

32 x -3

9 x 8

_  96

   72

_ 4     --->> convert improper to mixed numbers

   3

- 1 ¹/₃

A rectangular pan has a length that is the width. The total area of the pan is 432 in.2. What is the width of the cake pan? A = lw 10.4 in. 13.9 in. 18 in. 24 in.

Answers

Answer:

Let width = w

length = 4w/3

Area = 432 = length*width = w*4w/3

4w^2/3 = 432

w^2 = 432*3/4 = 324

w = 18

so the width of the cake pan is 18 inches.

The width of the rectangular pan is 18 inches and this can be determined by using the formula of the area of the rectangle.

Given :

A rectangular pan has a length that is 4/3 the width.

The total area of the pan is 432 square inches.

The following steps can be used in order to determine the width of the cake pan:

Step 1 - The formula of the area of the rectangle can be used in order to determine the width of the cake pan.

Step 2 - The area of a rectangle is given below:

[tex]\rm A = LW[/tex]

where L is the length and W is the width of the rectangle.

Step 3 - According to the given data, the length is 4/3 the width.

Step 4 - Substitute the values of the known terms in the above expression.

[tex]\rm 432 = w\times \dfrac{4w}{3}[/tex]

Step 5 - Simplify the above expression.

[tex]\rm 432 = \dfrac{4w^2}{3}[/tex]

[tex]\rm w^2 = 324[/tex]

w = 18 inches

Therefore, the correct option is C).

For more information, refer to the link given below:

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It takes 31 pounds to plant 5 acres how many pounds are needed to plant 1 acre?

Answers

Answer:

6.2 Pounds

Step-by-step explanation:

Divide 31 by 5 to get the number for one acre. The answer is 6.2.

Hope this helps! :)

Tenths
N Hundredths
w Thousandths
4.1.23
Which statements for 4.123 are true?
Check all that are true.
The digit 1 is in the tenths place.
The digit 2 is in the hundredths place.
The digit 3 is in the thousandths place.
The digit 3 is in the hundredths place.
The digit 2 is in the tenths place.

Answers

It would be A,B,C those are correct

Answer:

A, B, and C

Step-by-step explanation:

Very simple math. I learned this in second grade.

Please please help me the correct answer will be marked as the brainliest. 1.The first term of a sequence is 5 and the term-to-term rule is multiply by -3. a.Write the first five terms of the sequence. b.Work out the difference between the second and forth terms. 2. The answer to a calculation is-24. Write four different calculations that each give an answer of -24. use each sign+,-,×,÷ at least once.

Answers

Answer:

Step-by-step explanation:

One

Part A

5, -3*5, (-3)^2 * 5, (-3)^3*5, (-3)^4 * 5

5, - 15, 45, -135, 405

Part B

Second term = -15

Fourth term = -135

The difference = -15 - (-135) = 120

Two

(4 + 2)*(6-2)/(-1)

(8/2) * (5 + 1) * (2 - 1)/(-1)

(16/4) * (3+3) * (2 -1) / (- 1)

(30 - 6) * (0 + 1) / - 1

g(x)= - 4x - 24 PLEASE HELP

Answers

Answer:

the answer got that would be -4

Solve graphically the inequality 2x + y >= 2​

Answers

Answer:

y>=2-2x

Step-by-step explanation:

hope this helps

Evaluate y = 3x - 5 when x = 6

Answers

y=13

Step-by-step explanation:

y=3x-5

y=3(6)-5

y=18-5

y=13

HELP ASAP!! Verona is solving the equation –3 + 4x = 9. In order to isolate the variable term using the subtraction property of equality, which number should she subtract from both sides of the equation? a. –4 b. –3 c. 3 d. 4

Answers

Answer:

C, 3

Step-by-step explanation:

you add 3 then divide by 4

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