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Exercise

$\left(n^{-6}\right)^{-5}$

Step-by-step Solution

1

Simplify $\left(n^{-6}\right)^{-5}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $-6$ and $n$ equals $-5$

$n^{-6\cdot -5}$
2

Multiply $-6$ times $-5$

$n^{30}$

Final answer to the exercise

$n^{30}$

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Main Topic: Powers of powers

When we have a power inside another power, we can simplify multiplying the exponents: $\left(x^m\right)^n=x^{m\cdot n}$.

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