What is 830e^{-0.12(8)} ?

The solution to 830e^{-0.12(8)} is 317.80109…

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simplify 830e^{-0.12(8)}

simplify

830 e^{- 0.12 (8)}

317.80109 \dots

Solution steps

830 e^{- 0.12 (8)}

Apply exponent rule:

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

= 830 \cdot \frac{1}{e ^{8 \cdot 0.12}}

Multiply the numbers:

0.12 \cdot 8 = 0.96

= 830 \cdot \frac{1}{e ^{0.96}}

Multiply fractions:

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

= \frac{1 \cdot 830}{e ^{0.96}}

Multiply the numbers:

1 \cdot 830 = 830

= \frac{830}{e ^{0.96}}

e^{0.96} = 2.61169 \dots

= \frac{830}{2.61169 \dots}

Divide the numbers:

\frac{830}{2.61169 \dots} = 317.80109 \dots

= 317.80109 \dots

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