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Popular >

simplify (x^{1/4})^5\sqrt[3]{x}

Solution

simplify

Solution

x^{\frac{19}{12}}

Solution steps

Simplify

(x^{\frac{1}{4}})^{5} : x^{\frac{5}{4}}

Apply radical rule:

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

Apply exponent rule:

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

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

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

\frac{5}{4} + \frac{1}{3} = \frac{19}{12}

= x^{\frac{19}{12}}

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Frequently Asked Questions (FAQ)

What is (x^{1/4})^5\sqrt[3]{x} ?
The solution to (x^{1/4})^5\sqrt[3]{x} is x^{19/12}