What is (\sqrt[3]{2w})^5 ?

The solution to (\sqrt[3]{2w})^5 is 2\sqrt[3]{2^2}\sqrt[3]{w^5}

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simplify (\sqrt[3]{2w})^5

simplify

Solution steps

Apply exponent rule:

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

Apply exponent rule:

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

2 \cdot 2^{\frac{2}{3}} = 2^{1 + \frac{2}{3}}

2^{1 + \frac{2}{3}} = 2 \cdot 2^{\frac{2}{3}}

Simplify

= 2^{\frac{2}{3}} \cdot 2 w^{\frac{5}{3}}

2^{\frac{2}{3}} \cdot 2 = 2^{\frac{5}{3}}

= 2^{\frac{5}{3}} w^{\frac{5}{3}}

2^{\frac{5}{3}} = 2 \cdot 2^{\frac{2}{3}}

= 2 \cdot 2^{\frac{2}{3}} w^{\frac{5}{3}}

2 > x

3 (x + 1)^{2} = 108

5 v - 6 > 9 v - 30

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

- (x + 2) = - 9

What is (\sqrt[3]{2w})^5 ?
The solution to (\sqrt[3]{2w})^5 is 2\sqrt[3]{2^2}\sqrt[3]{w^5}