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Popular >

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

Solution

simplify

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

Solution

4 e^{x}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

= 2^{2} e^{x}

2^{2} = 4

= 4 e^{x}

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Frequently Asked Questions (FAQ)

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