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

The solution to (5sqrt(x^5))(3\sqrt[3]{x}) is 15\sqrt[6]{x^{17}}

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

simplify

Solution steps

Simplify

x^{5} : x^{2} x

Multiply the numbers:

5 \cdot 3 = 15

Simplify

= 15 x^{2} x^{\frac{5}{6}}

Apply exponent rule:

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

x^{2} x^{\frac{5}{6}} = x^{2 + \frac{5}{6}}

= 15 x^{2 + \frac{5}{6}}

2 + \frac{5}{6} = \frac{17}{6}

= 15 x^{\frac{17}{6}}

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What is (5sqrt(x^5))(3\sqrt[3]{x}) ?
The solution to (5sqrt(x^5))(3\sqrt[3]{x}) is 15\sqrt[6]{x^{17}}