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Popular >

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

Solution

simplify

Solution

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

Solution steps

Apply exponent rule:

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

assuming

a \geq 0

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

Cross-cancel:

3

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

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{a})^{3/2} ?
The solution to (\sqrt[3]{a})^{3/2} is a^{1/2}