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Popular >

simplify (e^{a+(b^2)/2})^2

Solution

simplify

(e^{a + \frac{b ^{2}}{2}})^{2}

Solution

e^{2 a + b^{2}}

Solution steps

(e^{a + \frac{b ^{2}}{2}})^{2}

Apply exponent rule:

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

= e^{(a + \frac{b ^{2}}{2}) \cdot 2}

Simplify

(a + \frac{b ^{2}}{2}) \cdot 2 : 2 a + b^{2}

= e^{2 a + b^{2}}

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Frequently Asked Questions (FAQ)

What is (e^{a+(b^2)/2})^2 ?
The solution to (e^{a+(b^2)/2})^2 is e^{2a+b^2}