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Popular >

simplify sqrt(4^{2n+2)}

Solution

simplify

4^{2 n + 2}

Solution

4^{n + 1}

Solution steps

4^{2 n + 2}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

(2 n + 2) \frac{1}{2} : n + 1

= 4^{n + 1}

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Frequently Asked Questions (FAQ)

What is sqrt(4^{2n+2)} ?
The solution to sqrt(4^{2n+2)} is 4^{n+1}