What is (3sqrt(x))(2\sqrt[5]{x}) ?

The solution to (3sqrt(x))(2\sqrt[5]{x}) is 6x^{7/10}

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simplify (3sqrt(x))(2\sqrt[5]{x})

simplify

6 x^{\frac{7}{10}}

Solution steps

Apply exponent rule:

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

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

x^{\frac{1}{2} + \frac{1}{5}} = x^{\frac{7}{10}}

= 3 \cdot 2 x^{\frac{7}{10}}

Multiply the numbers:

3 \cdot 2 = 6

= 6 x^{\frac{7}{10}}

0.125 \cdot 1 0^{- 7}

\frac{3 π}{37.5} 2^{- 38.98}

2.718 2^{- 2.5} (2. 5^{10})

(1.2) (10)^{- 3}

What is (3sqrt(x))(2\sqrt[5]{x}) ?
The solution to (3sqrt(x))(2\sqrt[5]{x}) is 6x^{7/10}