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Popular >

simplify (x^{4/3})^{5/7}

Solution

simplify

(x^{\frac{4}{3}})^{\frac{5}{7}}

Solution

x^{\frac{20}{21}}

Solution steps

(x^{\frac{4}{3}})^{\frac{5}{7}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{4}{3} \cdot \frac{5}{7}}

\frac{4}{3} \cdot \frac{5}{7} = \frac{20}{21}

= x^{\frac{20}{21}}

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Frequently Asked Questions (FAQ)

What is (x^{4/3})^{5/7} ?
The solution to (x^{4/3})^{5/7} is x^{20/21}