What is 2pix(6e^{-x^2}) ?

The solution to 2pix(6e^{-x^2}) is (12pix)/(e^{x^2)}

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simplify 2pix(6e^{-x^2})

simplify

2 π x (6 e^{- x^{2}})

\frac{12 π x}{e ^{x^{2}}}

Solution steps

2 π x (6 e^{- x^{2}})

Apply exponent rule:

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

= 2 \cdot 6 π \frac{1}{e ^{x^{2}}} x

Multiply fractions:

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

= \frac{1 \cdot 2 π x \cdot 6}{e ^{x^{2}}}

Multiply the numbers:

1 \cdot 2 \cdot 6 = 12

= \frac{12 π x}{e ^{x^{2}}}

e^{- (3 l n (5))}

- 2 e^{- 2 (1)}

4.3657300000000 \dots \cdot 1 0^{- 19}

0.0000000011 \cdot 1 0^{- 6}

e^{x^{2}} e^{2 x^{2}}