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Popular >

simplify \sqrt[8]{z^5}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

= (z^{5})^{\frac{1}{8}}

Apply exponent rule:

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

assuming

a \geq 0

= z^{5 \cdot \frac{1}{8}}

5 \cdot \frac{1}{8} = \frac{5}{8}

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

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Frequently Asked Questions (FAQ)

What is \sqrt[8]{z^5} ?
The solution to \sqrt[8]{z^5} is z^{5/8}