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Popular >

simplify sqrt(a^{3n)}

Solution

simplify

a^{3 n}

Solution

a^{\frac{3 n}{2}}

Solution steps

a^{3 n}

Apply radical rule:

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

= (a^{3 n})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= a^{3 n \frac{1}{2}}

Simplify

3 n \frac{1}{2} : \frac{3 n}{2}

= a^{\frac{3 n}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt(a^{3n)} ?
The solution to sqrt(a^{3n)} is a^{(3n)/2}