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Popular >

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

Solution

simplify

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

Solution

y^{\frac{3}{2}}

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

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Frequently Asked Questions (FAQ)

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