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Popular >

simplify sqrt(4^{4x)}

Solution

simplify

4^{4 x}

Solution

1 6^{x}

Solution steps

4^{4 x}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

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

= 4^{2 x}

Apply exponent rule:

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

4^{2 x} = (4^{2})^{x}

= (4^{2})^{x}

4^{2} = 16

= 1 6^{x}

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Frequently Asked Questions (FAQ)

What is sqrt(4^{4x)} ?
The solution to sqrt(4^{4x)} is 16^x