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Popular >

simplify (sqrt(x))^{4/3}

Solution

simplify

(x)^{\frac{4}{3}}

Solution

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

Solution steps

(x)^{\frac{4}{3}}

Apply exponent rule:

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

assuming

a \geq 0

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

Cross-cancel common factor:

2

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

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Frequently Asked Questions (FAQ)

What is (sqrt(x))^{4/3} ?
The solution to (sqrt(x))^{4/3} is x^{2/3}