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Popular >

simplify (z^{-4/3})^{-6/5}

Solution

simplify

(z^{- \frac{4}{3}})^{- \frac{6}{5}}

Solution

z^{\frac{8}{5}}

Solution steps

(z^{- \frac{4}{3}})^{- \frac{6}{5}}

Apply exponent rule:

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

assuming

a \geq 0

= z^{- \frac{4}{3} (- \frac{6}{5})}

- \frac{4}{3} (- \frac{6}{5}) = \frac{8}{5}

= z^{\frac{8}{5}}

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Frequently Asked Questions (FAQ)

What is (z^{-4/3})^{-6/5} ?
The solution to (z^{-4/3})^{-6/5} is z^{8/5}