What is \sqrt[3]{3^4}\sqrt[7]{8} ?

The solution to \sqrt[3]{3^4}\sqrt[7]{8} is 3\sqrt[3]{3}\sqrt[7]{8}

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simplify \sqrt[3]{3^4}\sqrt[7]{8}

simplify

Decimal Notation

5.82337 \dots

Solution steps

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

3^{3 + 1} = 3^{3} \cdot 3

Apply radical rule:

(\frac{1}{2} - 1)^{2}

\frac{x ^{3}}{x ^{- 6}}

\frac{2}{3} \cdot \frac{4}{9}

- 350

\frac{x ^{2} + 3 x - 10}{x - 2}

What is \sqrt[3]{3^4}\sqrt[7]{8} ?
The solution to \sqrt[3]{3^4}\sqrt[7]{8} is 3\sqrt[3]{3}\sqrt[7]{8}