What is 100e^{-0.087(9)} ?

The solution to 100e^{-0.087(9)} is 45.70328…

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simplify 100e^{-0.087(9)}

simplify

100 e^{- 0.087 (9)}

45.70328 \dots

Solution steps

100 e^{- 0.087 (9)}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{9 \cdot 0.087}}

Multiply the numbers:

0.087 \cdot 9 = 0.783

= 100 \cdot \frac{1}{e ^{0.783}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{0.783}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.783}}

e^{0.783} = 2.18802 \dots

= \frac{100}{2.18802 \dots}

Divide the numbers:

\frac{100}{2.18802 \dots} = 45.70328 \dots

= 45.70328 \dots

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