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

The solution to (3sqrt(x))(4\sqrt[5]{x}) is 12x^{7/10}

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

simplify

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

Solution steps

Apply exponent rule:

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

= 3 \cdot 4 x^{\frac{1}{2} + \frac{1}{5}}

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

= 3 \cdot 4 x^{\frac{7}{10}}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{\frac{7}{10}}

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

\frac{2}{x} \cdot \frac{5}{y}

\frac{5 x}{3}

15 \cdot 15^{4}

(7 x^{2} y^{3} z^{4}) (x^{4} y^{3} z)

What is (3sqrt(x))(4\sqrt[5]{x}) ?
The solution to (3sqrt(x))(4\sqrt[5]{x}) is 12x^{7/10}