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Popular >

simplify sqrt(e^{3x)}

Solution

simplify

e^{3 x}

Solution

e^{\frac{3 x}{2}}

Solution steps

e^{3 x}

Apply radical rule:

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

= (e^{3 x})^{\frac{1}{2}}

Apply exponent rule:

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

= e^{3 x \frac{1}{2}}

Simplify

3 x \frac{1}{2} : \frac{3 x}{2}

= e^{\frac{3 x}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt(e^{3x)} ?
The solution to sqrt(e^{3x)} is e^{(3x)/2}