What is 375000e^{-0.13(17)} ?

The solution to 375000e^{-0.13(17)} is 41137.74319…

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simplify 375000e^{-0.13(17)}

simplify

375000 e^{- 0.13 (17)}

41137.74319 \dots

Solution steps

375000 e^{- 0.13 (17)}

Apply exponent rule:

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

= 375000 \cdot \frac{1}{e ^{17 \cdot 0.13}}

Multiply the numbers:

0.13 \cdot 17 = 2.21

= 375000 \cdot \frac{1}{e ^{2.21}}

Multiply fractions:

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

= \frac{1 \cdot 375000}{e ^{2.21}}

Multiply the numbers:

1 \cdot 375000 = 375000

= \frac{375000}{e ^{2.21}}

e^{2.21} = 9.11571 \dots

= \frac{375000}{9.11571 \dots}

Divide the numbers:

\frac{375000}{9.11571 \dots} = 41137.74319 \dots

= 41137.74319 \dots

0.203 \cdot 1 0^{- 3} \cdot 185

e^{x} e^{1}

f (3) \cdot f^{- 1} (2)

- π e^{- π} (302 π + 2022)

What is 375000e^{-0.13(17)} ?
The solution to 375000e^{-0.13(17)} is 41137.74319…