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Popular >

simplify \sqrt[4]{a^m}

Solution

simplify

4 a^{m}

Solution

a^{\frac{m}{4}}

Solution steps

4 a^{m}

Apply radical rule:

n a = a^{\frac{1}{n}}

= (a^{m})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= a^{m \frac{1}{4}}

Simplify

m \frac{1}{4} : \frac{m}{4}

= a^{\frac{m}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{a^m} ?
The solution to \sqrt[4]{a^m} is a^{m/4}