What is 100e^{-0.138343313(20)} ?

The solution to 100e^{-0.138343313(20)} is 6.28586…

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simplify 100e^{-0.138343313(20)}

simplify

100 e^{- 0.138343313 (20)}

6.28586 \dots

Solution steps

100 e^{- 0.138343313 (20)}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{20 \cdot 0.138343313}}

Multiply the numbers:

0.138343313 \cdot 20 = 2.76686626

= 100 \cdot \frac{1}{e ^{2.76686626}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{2.76686626}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{2.76686626}}

e^{2.76686626} = 15.90870 \dots

= \frac{100}{15.90870 \dots}

Divide the numbers:

\frac{100}{15.90870 \dots} = 6.28586 \dots

= 6.28586 \dots

- \frac{π}{2} e^{- 4 (0.4)}

- 200 (- \frac{1}{500}) e^{- 200 (0.005)}

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

1.25 \cdot 1 0^{- 9}

What is 100e^{-0.138343313(20)} ?
The solution to 100e^{-0.138343313(20)} is 6.28586…