Basic Math Examples

$\sqrt[3]{\frac{8}{27^{- 4}}}$

Step 1

Move $27^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\sqrt[3]{8 \cdot 27^{4}}$

Step 2

Raise $27$ to the power of $4$ .

$\sqrt[3]{8 \cdot 531441}$

Step 3

Multiply $8$ by $531441$ .

$\sqrt[3]{4251528}$

Step 4

Rewrite $4251528$ as $162^{3}$ .

$\sqrt[3]{162^{3}}$

Step 5

Pull terms out from under the radical, assuming real numbers.

$162$