What is \sqrt[3]{2}*\sqrt[5]{2} ?

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

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simplify \sqrt[3]{2}*\sqrt[5]{2}

simplify

Decimal Notation

1.44726 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

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

x^{2} - x - 2

- 6 x^{3} 28 - x^{2} 175 x^{2}

\frac{1 + x}{1 - x} + \frac{1 - x}{1 + x} + 2

1 0^{1.5 (15.84675355) + 4.8}

35 v - 30

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