What is 100*e^{-0.4023594781*8} ?

The solution to 100*e^{-0.4023594781*8} is 4.00000…

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simplify 100e^{-0.40235947818}

simplify

100 \cdot e^{- 0.4023594781 \cdot 8}

4.00000 \dots

Solution steps

100 e^{- 0.4023594781 \cdot 8}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{8 \cdot 0.4023594781}}

Multiply the numbers:

0.4023594781 \cdot 8 = 3.21887 \dots

= 100 \cdot \frac{1}{e ^{3.21887 \dots}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{3.21887 \dots}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{3.21887 \dots}}

e^{3.21887 \dots} = 24.99999 \dots

= \frac{100}{24.99999 \dots}

Divide the numbers:

\frac{100}{24.99999 \dots} = 4.00000 \dots

= 4.00000 \dots

\frac{- 102}{6}

(1.2 \cdot 1 0^{22}) \cdot 6.023 \cdot 1 0^{23}

e^{- (n - 1) t} e^{- t}

l os (0.01)^{- 1}

(100) 0.19^{2}

What is 100*e^{-0.4023594781*8} ?
The solution to 100*e^{-0.4023594781*8} is 4.00000…