What is 993.66e^{-53.1(0.1)} ?

The solution to 993.66e^{-53.1(0.1)} is 4.91059…

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simplify 993.66e^{-53.1(0.1)}

simplify

993.66 e^{- 53.1 (0.1)}

4.91059 \dots

Solution steps

993.66 e^{- 53.1 (0.1)}

Apply exponent rule:

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

= 993.66 \cdot \frac{1}{e ^{0.1 \cdot 53.1}}

Multiply the numbers:

53.1 \cdot 0.1 = 5.31

= 993.66 \cdot \frac{1}{e ^{5.31}}

Multiply fractions:

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

= \frac{1 \cdot 993.66}{e ^{5.31}}

Multiply the numbers:

1 \cdot 993.66 = 993.66

= \frac{993.66}{e ^{5.31}}

e^{5.31} = 202.35022 \dots

= \frac{993.66}{202.35022 \dots}

Divide the numbers:

\frac{993.66}{202.35022 \dots} = 4.91059 \dots

= 4.91059 \dots

(7.42 \cdot 1 0^{- 6}) (2 π) (0.0159)

(7.7 \cdot 1 0^{8}) \cdot (4.9 \cdot 1 0^{- 5})

14 e^{- 2}

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