What is 925.37e^{-0.311*10} ?

The solution to 925.37e^{-0.311*10} is 41.27238…

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simplify 925.37e^{-0.311*10}

simplify

925.37 e^{- 0.311 \cdot 10}

41.27238 \dots

Solution steps

925.37 e^{- 0.311 \cdot 10}

Apply exponent rule:

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

= 925.37 \cdot \frac{1}{e ^{10 \cdot 0.311}}

Multiply the numbers:

0.311 \cdot 10 = 3.11

= 925.37 \cdot \frac{1}{e ^{3.11}}

Multiply fractions:

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

= \frac{1 \cdot 925.37}{e ^{3.11}}

Multiply the numbers:

1 \cdot 925.37 = 925.37

= \frac{925.37}{e ^{3.11}}

e^{3.11} = 22.42104 \dots

= \frac{925.37}{22.42104 \dots}

Divide the numbers:

\frac{925.37}{22.42104 \dots} = 41.27238 \dots

= 41.27238 \dots

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