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Popular >

simplify sqrt(a^{4n)}

Solution

simplify

a^{4 n}

Solution

a^{2 n}

Solution steps

a^{4 n}

Apply radical rule:

a = a^{\frac{1}{2}}

= (a^{4 n})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= a^{4 n \frac{1}{2}}

Simplify

4 n \frac{1}{2} : 2 n

= a^{2 n}

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Frequently Asked Questions (FAQ)

What is sqrt(a^{4n)} ?
The solution to sqrt(a^{4n)} is a^{2n}