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Popular >

simplify sqrt(4^{2a)}

Solution

simplify

4^{2 a}

Solution

4^{a}

Solution steps

4^{2 a}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

2 a \frac{1}{2} : a

= 4^{a}

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Frequently Asked Questions (FAQ)

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