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Popular >

simplify (\sqrt[4]{6x})^3

Solution

simplify

(4 6 x)^{3}

Solution

6^{\frac{3}{4}} x^{\frac{3}{4}}

Solution steps

(4 6 x)^{3}

Apply radical rule:

n a = a^{\frac{1}{n}}

= ((6 x)^{\frac{1}{4}})^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (6 x)^{\frac{1}{4} \cdot 3}

\frac{1}{4} \cdot 3 = \frac{3}{4}

= (6 x)^{\frac{3}{4}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 6^{\frac{3}{4}} x^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{6x})^3 ?
The solution to (\sqrt[4]{6x})^3 is 6^{3/4}x^{3/4}