Answer:
x to the 16th power over y to the 8th power.
Step-by-step explanation:
Here, the given expression is,
[tex](\frac{x^4}{y^2})^4[/tex]
[tex]=\frac{(x^4)^4}{(y^2)^4}[/tex] ( [tex](\frac{a}{b})^m=\frac{a^m}{b^m}[/tex] )
[tex]=\frac{x^{16}}{y^8}[/tex] ( [tex](a^m)^n=a^{mn}[/tex] )
Since, the further simplification is not possible,
So, the simplification form of the given expression is,
[tex]=\frac{x^{16}}{y^8}[/tex]
= x to the 16th power over y to the 8th power.
