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Popular >

simplify ((sqrt(e))^x)^4

Solution

simplify

((e)^{x})^{4}

Solution

e^{2 x}

Solution steps

((e)^{x})^{4}

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

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

Apply exponent rule:

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

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

Simplify

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

= e^{2 x}

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Frequently Asked Questions (FAQ)

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