What is 993.66e^{-53.1(0.005)} ?

The solution to 993.66e^{-53.1(0.005)} is 761.96078…

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simplify 993.66e^{-53.1(0.005)}

simplify

993.66 e^{- 53.1 (0.005)}

761.96078 \dots

Solution steps

993.66 e^{- 53.1 (0.005)}

Apply exponent rule:

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

= 993.66 \cdot \frac{1}{e ^{0.005 \cdot 53.1}}

Multiply the numbers:

53.1 \cdot 0.005 = 0.2655

= 993.66 \cdot \frac{1}{e ^{0.2655}}

Multiply fractions:

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

= \frac{1 \cdot 993.66}{e ^{0.2655}}

Multiply the numbers:

1 \cdot 993.66 = 993.66

= \frac{993.66}{e ^{0.2655}}

e^{0.2655} = 1.30408 \dots

= \frac{993.66}{1.30408 \dots}

Divide the numbers:

\frac{993.66}{1.30408 \dots} = 761.96078 \dots

= 761.96078 \dots

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What is 993.66e^{-53.1(0.005)} ?
The solution to 993.66e^{-53.1(0.005)} is 761.96078…