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Power of a product Calculator

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1

Solved example of power of a product

$\left(3a^2\right)^3$
2

The power of a product is equal to the product of it's factors raised to the same power

$3^3\left(a^2\right)^3$
3

Calculate the power $3^3$

$27\left(a^2\right)^3$
4

Simplify $\left(a^2\right)^3$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $3$

$27a^{2\cdot 3}$
5

Multiply $2$ times $3$

$27a^{6}$
6

Multiply $2$ times $3$

$27a^{6}$

Final Answer

$27a^{6}$

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