What is 2ae^{-(x-3)^2} ?

The solution to 2ae^{-(x-3)^2} is (2a)/(e^{(x-3)^2)}

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simplify 2ae^{-(x-3)^2}

simplify

2 a e^{- (x - 3)^{2}}

\frac{2 a}{e ^{(x - 3)^{2}}}

Solution steps

2 a e^{- (x - 3)^{2}}

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{(x - 3)^{2}}} a

Multiply fractions:

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

= \frac{1 \cdot 2 a}{e ^{(x - 3)^{2}}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 a}{e ^{(x - 3)^{2}}}

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