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Popular >

simplify sqrt(e^{4x)}

Solution

simplify

e^{4 x}

Solution

e^{2 x}

Solution steps

e^{4 x}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

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

= e^{2 x}

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Frequently Asked Questions (FAQ)

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