What is e^{-x^2}*2e^{x^2} ?

The solution to e^{-x^2}*2e^{x^2} is 2

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simplify e^{-x^2}*2e^{x^2}

simplify

e^{- x^{2}} \cdot 2 e^{x^{2}}

2

Solution steps

e^{- x^{2}} \cdot 2 e^{x^{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- x^{2}} e^{x^{2}} = e^{- x^{2} + x^{2}}

= 2 e^{- x^{2} + x^{2}}

Add similar elements:

- x^{2} + x^{2} = 0

= 2 e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

150 (4.65 \cdot 1 0^{- 6})

\frac{x ^{2}}{( 1 - 9 x ) ^{2}}

e^{x} (x e^{- x})

0.2 \cdot 10.1 \cdot 1 0^{- 3}

2.5 \cdot 1 0^{- 14}