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Power of a product


Definition

The power of a product of factors is equal to the product of each factor to the same power: $\left(b\cdot c\right)^n=b^n\cdot c^n$.


Problems Solved

$\sqrt[8]{a^{16}\cdot b^{15}}$
$\sqrt{6\cdot6}$
$\left(2x^3\right)^3$
$\left(a\cdot x\right)^5$
$\left(3\sqrt{3}\right)^2$
$\left[\left(x+y\right)\left(x-y\right)\right]^2$
$\left(2x^4y^4\right)^4$

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