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Popular >

simplify \sqrt[4]{(x^2)}^3

Solution

simplify

Solution

x^{\frac{3}{2}}

Solution steps

= (x)^{3}

Apply radical rule:

a = a^{\frac{1}{2}}

= (x^{\frac{1}{2}})^{3}

Apply exponent rule:

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

= x^{\frac{1}{2} \cdot 3}

\frac{1}{2} \cdot 3 = \frac{3}{2}

= x^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{(x^2)}^3 ?
The solution to \sqrt[4]{(x^2)}^3 is x^{3/2}