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Popular >

simplify (y^{3/4})^{2/3}

Solution

simplify

(y^{\frac{3}{4}})^{\frac{2}{3}}

Solution

y^{\frac{1}{2}}

Solution steps

(y^{\frac{3}{4}})^{\frac{2}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= y^{\frac{3}{4} \cdot \frac{2}{3}}

\frac{3}{4} \cdot \frac{2}{3} = \frac{1}{2}

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

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Frequently Asked Questions (FAQ)

What is (y^{3/4})^{2/3} ?
The solution to (y^{3/4})^{2/3} is y^{1/2}