What is 0.02e^{-0.02*12} ?

The solution to 0.02e^{-0.02*12} is 0.01573…

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simplify 0.02e^{-0.02*12}

simplify

0.02 e^{- 0.02 \cdot 12}

0.01573 \dots

Solution steps

0.02 e^{- 0.02 \cdot 12}

Apply exponent rule:

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

= 0.02 \cdot \frac{1}{e ^{12 \cdot 0.02}}

Multiply the numbers:

0.02 \cdot 12 = 0.24

= 0.02 \cdot \frac{1}{e ^{0.24}}

Multiply fractions:

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

= \frac{1 \cdot 0.02}{e ^{0.24}}

Multiply the numbers:

1 \cdot 0.02 = 0.02

= \frac{0.02}{e ^{0.24}}

e^{0.24} = 1.27124 \dots

= \frac{0.02}{1.27124 \dots}

Divide the numbers:

\frac{0.02}{1.27124 \dots} = 0.01573 \dots

= 0.01573 \dots

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

1.5 \cdot 1 0^{- 3} \cdot 12000

4.2 \cdot 1 0^{- 5}

\frac{e ^{x^{2}}}{e ^{2 x^{2}}}

e e^{x}