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

The solution to (3\sqrt[5]{y})(5\sqrt[4]{y}) is 15y^{9/20}

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simplify (3\sqrt[5]{y})(5\sqrt[4]{y})

simplify

15 y^{\frac{9}{20}}

Solution steps

Apply exponent rule:

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

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

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

= 3 \cdot 5 y^{\frac{9}{20}}

Multiply the numbers:

3 \cdot 5 = 15

= 15 y^{\frac{9}{20}}

(4 x^{4} y) (5 x^{6} y^{2})

0.08 \cdot 1 0^{- 4} \cdot 818

\frac{e ^{- 6 x}}{e ^{- 2 x}}

What is (3\sqrt[5]{y})(5\sqrt[4]{y}) ?
The solution to (3\sqrt[5]{y})(5\sqrt[4]{y}) is 15y^{9/20}