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

Answer:

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

Step-by-step explanation:

Here, the given expression is,

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

$=\frac{(x^4)^4}{(y^2)^4}$     ( $(\frac{a}{b})^m=\frac{a^m}{b^m}$ )

$=\frac{x^{16}}{y^8}$             ( $(a^m)^n=a^{mn}$ )

Since, the further simplification is not possible,

So, the simplification form of the given expression is,

$=\frac{x^{16}}{y^8}$

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