What is \sqrt[5]{96}*\sqrt[3]{3} ?

The solution to \sqrt[5]{96}*\sqrt[3]{3} is 2\sqrt[15]{3^8}

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simplify \sqrt[5]{96}*\sqrt[3]{3}

simplify

Decimal Notation

3.59330 \dots

Solution steps

Apply radical rule:

= 2 \cdot 3^{\frac{1}{5}} \cdot 3^{\frac{1}{3}}

Apply exponent rule:

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

3^{\frac{1}{5}} \cdot 3^{\frac{1}{3}} = 3^{\frac{1}{5} + \frac{1}{3}}

= 2 \cdot 3^{\frac{1}{5} + \frac{1}{3}}

\frac{1}{5} + \frac{1}{3} = \frac{8}{15}

= 2 \cdot 3^{\frac{8}{15}}

= 3^{\frac{8}{15}} \cdot 2

\frac{432}{54}

\frac{( x ^{5} y ^{3} z ^{- 2} ) ^{3}}{( x ^{3} y ^{2} z ^{5} ) ^{2}}

(4 m + 6 n)^{3}

(a - b) (a + b) (a + b^{2})

4 \cdot 40

What is \sqrt[5]{96}*\sqrt[3]{3} ?
The solution to \sqrt[5]{96}*\sqrt[3]{3} is 2\sqrt[15]{3^8}