What is 20e^{-0.04*12/12} ?

The solution to 20e^{-0.04*12/12} is 19.21578…

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simplify 20e^{-0.04*12/12}

simplify

20 e^{- 0.04 \cdot \frac{12}{12}}

19.21578 \dots

Solution steps

20 e^{- 0.04 \cdot \frac{12}{12}}

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{0.04 \cdot \frac{12}{12}}}

Apply rule

\frac{a}{a} = 1

\frac{12}{12} = 1

= 20 \cdot \frac{1}{e ^{1 \cdot 0.04}}

Multiply the numbers:

0.04 \cdot 1 = 0.04

= 20 \cdot \frac{1}{e ^{0.04}}

Multiply fractions:

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

= \frac{1 \cdot 20}{e ^{0.04}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20}{e ^{0.04}}

e^{0.04} = 1.04081 \dots

= \frac{20}{1.04081 \dots}

Divide the numbers:

\frac{20}{1.04081 \dots} = 19.21578 \dots

= 19.21578 \dots

146 (146)

1.82 \cdot 1 0^{- 2}

16.6 \cdot 1 0^{- 6}

\frac{12}{300} \cdot e^{- \frac{20}{300 ( 16 )}}

(e^{x}) (e^{- x} sin (2 x))