What is \sqrt[4]{3}\sqrt[5]{3} ?

The solution to \sqrt[4]{3}\sqrt[5]{3} is \sqrt[20]{3^9}

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simplify \sqrt[4]{3}\sqrt[5]{3}

simplify

Decimal Notation

1.63947 \dots

Solution steps

Apply radical rule:

= 3^{\frac{1}{4}} \cdot 3^{\frac{1}{5}}

Apply exponent rule:

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

3^{\frac{1}{4}} \cdot 3^{\frac{1}{5}} = 3^{\frac{1}{4} + \frac{1}{5}}

= 3^{\frac{1}{4} + \frac{1}{5}}

\frac{1}{4} + \frac{1}{5} = \frac{9}{20}

= 3^{\frac{9}{20}}

sec (x) sin (x) cot (x)

\frac{4}{5} - \frac{6}{7}

2 (\frac{1}{3 ^{2}})

32 \cdot 8

5 6 (- 4)^{2}

What is \sqrt[4]{3}\sqrt[5]{3} ?
The solution to \sqrt[4]{3}\sqrt[5]{3} is \sqrt[20]{3^9}