Question

What is the simplified form of the expression?
k^3(k7/5)^-5 how do i solve this?

Answer 1

is this right?
\[\huge k^3\cdot \left(k^{7 /5}\right)^{-5}\]

Answer 2

\[\Large \left( a^m \right)^n=a^{m n}\]

so, we can simplify it to:
\[\huge =k^3\cdot \left(k^{\left( \frac7 {\cancel5} \cdot(-\cancel5) \right) }\right) \]
\[\huge =k^3\cdot k^{-7} = k^{-4}\]
\[\Huge ={1 \over k^4}\]