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

The solution to sqrt(a)*\sqrt[3]{a^2}*\sqrt[4]{a^3} is a^{17/12}sqrt(a)

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simplify sqrt(a)\sqrt[3]{a^2}\sqrt[4]{a^3}

simplify

a^{\frac{17}{12}} a

Solution steps

= a a^{\frac{2}{3}} a^{\frac{3}{4}}

Apply exponent rule:

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

a^{\frac{2}{3}} a^{\frac{3}{4}} = a^{\frac{2}{3} + \frac{3}{4}}

= a a^{\frac{2}{3} + \frac{3}{4}}

a^{\frac{2}{3} + \frac{3}{4}} = a^{\frac{17}{12}}

= a^{\frac{17}{12}} a

x x^{3}

(27 - (212 + 6))^{2}

(201)^{2}

What is sqrt(a)*\sqrt[3]{a^2}*\sqrt[4]{a^3} ?
The solution to sqrt(a)*\sqrt[3]{a^2}*\sqrt[4]{a^3} is a^{17/12}sqrt(a)