What is \sqrt[3]{a}*\sqrt[6]{2a} ?

The solution to \sqrt[3]{a}*\sqrt[6]{2a} is \sqrt[6]{2}sqrt(a)

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simplify \sqrt[3]{a}*\sqrt[6]{2a}

simplify

Solution steps

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

Apply exponent rule:

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

a^{\frac{1}{3} + \frac{1}{6}} = a

(\frac{1 + 4 x}{1 - x})^{\frac{1}{2}}

\frac{25}{3} 22 \cdot 1 0^{- 8}

\frac{1}{3} π (8 h)^{2} h

(x^{2} + x)^{2}

What is \sqrt[3]{a}*\sqrt[6]{2a} ?
The solution to \sqrt[3]{a}*\sqrt[6]{2a} is \sqrt[6]{2}sqrt(a)