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

Answer:

(c) statement is correct.

The correct simplification of the expression  the quantity 4 times x all over y all to the second power  $(\frac{4x}{y} )^2$ in statement form written as  16 times x to the second power all over y to the second power  $\frac{16x^2}{y^2}$

Step-by-step 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 $(\frac{4x}{y} )^2$

Evaluating we get,

$\Rightarrow (\frac{4x}{y} )^2=\frac{(4x)^2}{y^2}$

We know square of 4 is 16

So it becomes,

$\Rightarrow \frac{(4x)^2}{y^2}=\frac{16x^2}{y^2}$

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  $(\frac{4x}{y} )^2$ in statement form written as  16 times x to the second power all over y to the second power  $\frac{16x^2}{y^2}$