Question

Math question

Answer 1

Here, @Rylee88.

Simplify and leave it in simplest exponential terms: \((\dfrac{z^4y^\text{-5}}{x^\text{-2}})^\dfrac{2}{5}\)

Answer 2

@smokeybrown thoughts?

Answer 3

When a term with exponents is taken to a higher power, the existing exponents can be multiplied by the higher power to get the result.
So,
\[(\frac{ z ^{4} * y ^{-5} }{ x ^{-2} } )^{2/5}\]
would be the same as
\[(\frac{ z ^{4*2/5} * y ^{-5*2/5} }{ x ^{-2*2/5} } )\]
which you could simplify as
\[(\frac{ z ^{8/5} * y ^{-2} }{ x ^{-4/5} } )\]
There are no further similar terms to combine, so that should suffice for simplest form, I think

Answer 4

@smokeybrown Thank you

Answer 5

No problem, glad we could be of help :)