What is (\sqrt[3]{(12w)})^5 ?

The solution to (\sqrt[3]{(12w)})^5 is 12\sqrt[3]{12^2}\sqrt[3]{w^5}

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simplify (\sqrt[3]{(12w)})^5

simplify

Solution steps

Apply rule:

(a) = a

(12 w) = 12 w

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}

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

1 2^{1 + \frac{2}{3}} = 12 \cdot 1 2^{\frac{2}{3}}

Simplify

= 1 2^{\frac{2}{3}} \cdot 12 w^{\frac{5}{3}}

1 2^{\frac{2}{3}} \cdot 12 = 1 2^{\frac{5}{3}}

= 1 2^{\frac{5}{3}} w^{\frac{5}{3}}

1 2^{\frac{5}{3}} = 12 \cdot 1 2^{\frac{2}{3}}

= 12 \cdot 1 2^{\frac{2}{3}} w^{\frac{5}{3}}

\frac{d ^{2}}{d x ^{2}} ((y) (e^{- 3 x}))

e^{- 0.00386}

e^{- 5 t} t^{2} sin (3 t)

\frac{e ^{x}}{e ^{2}}

What is (\sqrt[3]{(12w)})^5 ?
The solution to (\sqrt[3]{(12w)})^5 is 12\sqrt[3]{12^2}\sqrt[3]{w^5}