What is 100e^{-0.075*20} ?

The solution to 100e^{-0.075*20} is 22.31301…

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simplify 100e^{-0.075*20}

simplify

100 e^{- 0.075 \cdot 20}

22.31301 \dots

Solution steps

100 e^{- 0.075 \cdot 20}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{20 \cdot 0.075}}

Multiply the numbers:

0.075 \cdot 20 = 1.5

= 100 \cdot \frac{1}{e ^{1.5}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{1.5}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{100}{4.48168 \dots}

Divide the numbers:

\frac{100}{4.48168 \dots} = 22.31301 \dots

= 22.31301 \dots

5.67 \cdot 1 0^{- 8} \cdot 31 7^{4}

e^{- 0.303}

(23 \cdot 1 0^{- 2})^{3} \cdot 30 \cdot 1 0^{- 3} \cdot 9.8

1000 e^{- 0.022 \cdot 10}

12 \cdot e^{- \frac{22}{( 1 0 ^{6} \cdot 4 \cdot 1 0 ^{- 6} )}}