What is 40*e^{-0.13862*15} ?

The solution to 40*e^{-0.13862*15} is 5.00070…

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simplify 40e^{-0.1386215}

simplify

40 \cdot e^{- 0.13862 \cdot 15}

5.00070 \dots

Solution steps

40 e^{- 0.13862 \cdot 15}

Apply exponent rule:

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

= 40 \cdot \frac{1}{e ^{15 \cdot 0.13862}}

Multiply the numbers:

0.13862 \cdot 15 = 2.0793

= 40 \cdot \frac{1}{e ^{2.0793}}

Multiply fractions:

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

= \frac{1 \cdot 40}{e ^{2.0793}}

Multiply the numbers:

1 \cdot 40 = 40

= \frac{40}{e ^{2.0793}}

e^{2.0793} = 7.99886 \dots

= \frac{40}{7.99886 \dots}

Divide the numbers:

\frac{40}{7.99886 \dots} = 5.00070 \dots

= 5.00070 \dots

68 e^{- 0.065 \cdot \frac{6}{12}}

- 14 x^{5} y^{2} (5 y)

0.018 \cdot 1 0^{- 3}