What is 36450e^{-0.085(5)} ?

The solution to 36450e^{-0.085(5)} is 23829.90866…

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simplify 36450e^{-0.085(5)}

simplify

36450 e^{- 0.085 (5)}

23829.90866 \dots

Solution steps

36450 e^{- 0.085 (5)}

Apply exponent rule:

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

= 36450 \cdot \frac{1}{e ^{5 \cdot 0.085}}

Multiply the numbers:

0.085 \cdot 5 = 0.425

= 36450 \cdot \frac{1}{e ^{0.425}}

Multiply fractions:

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

= \frac{1 \cdot 36450}{e ^{0.425}}

Multiply the numbers:

1 \cdot 36450 = 36450

= \frac{36450}{e ^{0.425}}

e^{0.425} = 1.52959 \dots

= \frac{36450}{1.52959 \dots}

Divide the numbers:

\frac{36450}{1.52959 \dots} = 23829.90866 \dots

= 23829.90866 \dots

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