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Popular >

simplify (x^{2/3})^{5/2}

Solution

simplify

(x^{\frac{2}{3}})^{\frac{5}{2}}

Solution

x^{\frac{5}{3}}

Solution steps

(x^{\frac{2}{3}})^{\frac{5}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{2}{3} \cdot \frac{5}{2}}

Cross-cancel:

2

= x^{\frac{5}{3}}

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Frequently Asked Questions (FAQ)

What is (x^{2/3})^{5/2} ?
The solution to (x^{2/3})^{5/2} is x^{5/3}