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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

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Frequently Asked Questions (FAQ)

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