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Popular >

simplify (e^{3x})^{1/2}

Solution

simplify

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

Solution

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

Solution steps

(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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\frac{3 w}{5}

Frequently Asked Questions (FAQ)

What is (e^{3x})^{1/2} ?
The solution to (e^{3x})^{1/2} is e^{(3x)/2}