What is \sqrt[9]{(3a)^3} ?

The solution to \sqrt[9]{(3a)^3} is cube root of 3}\sqrt[3]{a

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simplify \sqrt[9]{(3a)^3}

simplify

Solution steps

Apply radical rule:

= ((3 a)^{3})^{\frac{1}{9}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (3 a)^{3 \cdot \frac{1}{9}}

3 \cdot \frac{1}{9} = \frac{1}{3}

= (3 a)^{\frac{1}{3}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

(3 x^{4} y^{2} z) (2 x^{3} y^{5} z^{2})

\frac{2 + x}{4 - x}

(\frac{3}{4})^{- 3}

e^{- 0.5}

e^{- x} \cdot e

What is \sqrt[9]{(3a)^3} ?
The solution to \sqrt[9]{(3a)^3} is cube root of 3}\sqrt[3]{a