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Popular >

simplify \sqrt[4]{5^x}

Solution

simplify

Solution

5^{\frac{x}{4}}

Solution steps

Apply radical rule:

= (5^{x})^{\frac{1}{4}}

Apply exponent rule:

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

= 5^{x \frac{1}{4}}

Simplify

x \frac{1}{4} : \frac{x}{4}

= 5^{\frac{x}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{5^x} ?
The solution to \sqrt[4]{5^x} is 5^{x/4}