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Popular >

simplify \sqrt[4]{8^{x-1}}

Solution

simplify

Solution

8^{\frac{x - 1}{4}}

Solution steps

Apply radical rule:

= (8^{x - 1})^{\frac{1}{4}}

Apply exponent rule:

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

= 8^{(x - 1) \frac{1}{4}}

Simplify

(x - 1) \frac{1}{4} : \frac{x - 1}{4}

= 8^{\frac{x - 1}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{8^{x-1}} ?
The solution to \sqrt[4]{8^{x-1}} is 8^{(x-1)/4}