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Popular >

simplify (x^3)^{1/2}

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

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Frequently Asked Questions (FAQ)

What is (x^3)^{1/2} ?
The solution to (x^3)^{1/2} is x^{3/2}