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Popular >

simplify sqrt(2^{4x)}

Solution

simplify

2^{4 x}

Solution

4^{x}

Solution steps

2^{4 x}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

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

= 2^{2 x}

Apply exponent rule:

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

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

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

2^{2} = 4

= 4^{x}

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Frequently Asked Questions (FAQ)

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