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Popular >

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

Solution

simplify

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

Solution

e^{\frac{4 x}{3}}

Solution steps

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

Apply exponent rule:

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

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

Simplify

\frac{2}{3} x \cdot 2 : \frac{4 x}{3}

= e^{\frac{4 x}{3}}

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Frequently Asked Questions (FAQ)

What is (e^{2/3 x})^2 ?
The solution to (e^{2/3 x})^2 is e^{(4x)/3}