What is sqrt(a)*\sqrt[3]{x^2}*\sqrt[4]{2a} ?

The solution to sqrt(a)*\sqrt[3]{x^2}*\sqrt[4]{2a} is \sqrt[4]{2}a^{3/4}\sqrt[3]{x^2}

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simplify sqrt(a)\sqrt[3]{x^2}\sqrt[4]{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}{2} + \frac{1}{4}} = a^{\frac{3}{4}}

60 \cdot 2.136 \cdot 1 0^{- 2}

(3 x^{6} y^{5}) (5 x^{2} y^{3})

1.58 \cdot 1 0^{- 8}

(0.25 4) \cdot 3

0.05 e^{- 9 t} sin (12 t)

What is sqrt(a)*\sqrt[3]{x^2}*\sqrt[4]{2a} ?
The solution to sqrt(a)*\sqrt[3]{x^2}*\sqrt[4]{2a} is \sqrt[4]{2}a^{3/4}\sqrt[3]{x^2}