What is \sqrt[5]{ab}*\sqrt[3]{a^2b^2} ?

The solution to \sqrt[5]{ab}*\sqrt[3]{a^2b^2} is a^{13/15}b^{13/15}

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simplify \sqrt[5]{ab}*\sqrt[3]{a^2b^2}

simplify

a^{\frac{13}{15}} b^{\frac{13}{15}}

Solution steps

Apply radical rule:

Apply exponent rule:

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

Apply exponent rule:

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

= a^{\frac{1}{5} + \frac{2}{3}} b^{\frac{1}{5} + \frac{2}{3}}

a^{\frac{1}{5} + \frac{2}{3}} = a^{\frac{13}{15}}

= a^{\frac{13}{15}} b^{\frac{1}{5} + \frac{2}{3}}

b^{\frac{1}{5} + \frac{2}{3}} = b^{\frac{13}{15}}

= a^{\frac{13}{15}} b^{\frac{13}{15}}

∣ x + 3 ∣ \leq 8

lo g_{3} (33) = x

\frac{3 11 x ^{3} y}{- 2 12 x ^{4} y}

- 5 x + 17 = 27

0.5 y = 19.5

What is \sqrt[5]{ab}*\sqrt[3]{a^2b^2} ?
The solution to \sqrt[5]{ab}*\sqrt[3]{a^2b^2} is a^{13/15}b^{13/15}