Question

Pleas help to Simplify the expression.

(x^1/4 z ^-4/3)^5

Answer 1

\[(x^{1/4}z^{-4/3})^5\] We're going to raise everything in the parenthesis to the 5th power. This is equivalent to multiplying all the exponents by 5. So we have:
\[x^{(1/4) \times 5} z^{(-4/3) \times 5}\] or
\[x^{5/4}z^{-20/3}\]

Answer 2

Ok.

Answer 3

So is x^4/ z^-10/2 the simplified answer?

Answer 4

It's x^(5/4) times z^(-20/3)