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Popular >

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

Solution

simplify

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

Solution

x

Solution steps

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

Apply radical rule:

n a^{m} = a^{\frac{m}{n}},

assuming

a \geq 0

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

= x^{1}

Apply exponent rule:

a^{1} = a

= x

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Frequently Asked Questions (FAQ)

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