Question

Choose the correct simplification of the expression the quantity 4 times x all over y all to the second power. 4 times x to the second power all over y to the second power 8 times x to the second power all over y to the second power 16 times x to the second power all over y to the second power 16 times x to the second power all over y

Answer 1

I believe the answer is the third option, C.

Answer 2

(c) statement is correct.

The correct simplification of the expression the quantity 4 times x all over y all to the second power
`((4x)/(y) )^2` in statement form written as 16 times x to the second power all over y to the second power
`(16x^2)/(y^2)`

Explanation:

Given expression : the quantity 4 times x all over y all to the second power

We have to write it in simplified statement form,

Consider the given expression,

the quantity 4 times x all over y all to the second power

Mathematically written as
`((4x)/(y) )^2`

Evaluating we get,

`\Rightarrow ((4x)/(y) )^2=((4x)^2)/(y^2)`

We know square of 4 is 16

So it becomes,

`\Rightarrow ((4x)^2)/(y^2)=(16x^2)/(y^2)`

In statement form written as 16 times x to the second power all over y to the second power.

Thus, (c) statement is correct.

Thus, The correct simplification of the expression the quantity 4 times x all over y all to the second power
`((4x)/(y) )^2` in statement form written as 16 times x to the second power all over y to the second power
`(16x^2)/(y^2)`