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Popular >

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

Solution

simplify

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

Solution

- \frac{a}{e}

Solution steps

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

Apply exponent rule:

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

= \frac{1}{e ^{\frac{a ^{2}}{a ^{2}}}} (- a)

Apply rule

\frac{a}{a} = 1

\frac{a ^{2}}{a ^{2}} = 1

= \frac{1}{e ^{1}} (- a)

Remove parentheses:

(- a) = - a

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

Apply rule

a^{1} = a

e^{1} = e

= - \frac{1}{e} a

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot a}{e}

Multiply:

1 \cdot a = a

= - \frac{a}{e}

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Frequently Asked Questions (FAQ)

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