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Exercise

$\left(\sqrt[3]{16}\right)^{-\frac{3}{2}}$

Step-by-step Solution

1

Simplify $\left(\sqrt[3]{16}\right)^{-\frac{3}{2}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{3}$ and $n$ equals $-\frac{3}{2}$

$16^{\frac{1}{3}\cdot \left(-\frac{3}{2}\right)}$

Final answer to the exercise

$16^{\frac{1}{3}\cdot \left(-\frac{3}{2}\right)}$

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Main Topic: Radical Expressions

Radical expressions are those expressions that include a radical, which is the symbol for calculating a root.

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