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Popular >

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

Solution

simplify

(46)^{3}

Solution

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

+1

Decimal

3.83365 \dots

Solution steps

(46)^{3}

Apply radical rule:

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

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

Apply exponent rule:

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

= 6^{\frac{1}{4} \cdot 3}

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

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

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Frequently Asked Questions (FAQ)

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