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

The solution to 2*2e^{-2^2} is 4/(e^4)

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

simplify

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

\frac{4}{e ^{4}}

Solution steps

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

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= 2^{1 + 1} e^{- 2^{2}}

Add the numbers:

1 + 1 = 2

= 2^{2} e^{- 2^{2}}

Apply exponent rule:

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

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot 2^{2} = 2^{2}

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

2^{2} = 4

= \frac{4}{e ^{4}}

4 e^{- x} e^{5 x}

x (x - 1)^{2} (x - 2)^{2} (x - 3)

4 \cdot 0.1 3^{2} \cdot (1 - 0.13)^{3} \cdot 0.13

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

5 e^{- 0.125}