Question

Choose the correct simplification of x to the 4th power over y to the 2nd power all raised to the 4th power.

Answer 1

The answer to your question is x^16/y^8.

Answer 2

x to the 16th power over y to the 8th power.

Explanation:

Here, the given expression is,

`((x^4)/(y^2))^4`

`=((x^4)^4)/((y^2)^4)` (
`((a)/(b))^m=(a^m)/(b^m)` )

`=(x^(16))/(y^8)` (
`(a^m)^n=a^(mn)` )

Since, the further simplification is not possible,

So, the simplification form of the given expression is,

`=(x^(16))/(y^8)`

= x to the 16th power over y to the 8th power.