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Popular >

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

Solution

simplify

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

Solution

\frac{1}{e ^{\frac{x ^{2}}{4}}}

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{(\frac{x}{2})^{2}}}

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

= \frac{1}{e ^{\frac{x ^{2}}{2 ^{2}}}}

2^{2} = 4

= \frac{1}{e ^{\frac{x ^{2}}{4}}}

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Frequently Asked Questions (FAQ)

What is e^{-(x/2)^2} ?
The solution to e^{-(x/2)^2} is 1/(e^{\frac{x^2){4}}}