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Popular >

simplify (u^{3/2})^{4/5}

Solution

simplify

(u^{\frac{3}{2}})^{\frac{4}{5}}

Solution

u^{\frac{6}{5}}

Solution steps

(u^{\frac{3}{2}})^{\frac{4}{5}}

Apply exponent rule:

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

assuming

a \geq 0

= u^{\frac{3}{2} \cdot \frac{4}{5}}

\frac{3}{2} \cdot \frac{4}{5} = \frac{6}{5}

= u^{\frac{6}{5}}

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Frequently Asked Questions (FAQ)

What is (u^{3/2})^{4/5} ?
The solution to (u^{3/2})^{4/5} is u^{6/5}