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Popular >

simplify \sqrt[4]{(z-1)^5}

Solution

simplify

Solution

(z - 1)^{\frac{5}{4}}

Solution steps

Apply radical rule:

= ((z - 1)^{5})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= (z - 1)^{5 \cdot \frac{1}{4}}

5 \cdot \frac{1}{4} = \frac{5}{4}

= (z - 1)^{\frac{5}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{(z-1)^5} ?
The solution to \sqrt[4]{(z-1)^5} is (z-1)^{5/4}