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Popular >

simplify 40e^{-0.03*4/12}

Solution

simplify

40 e^{- 0.03 \cdot \frac{4}{12}}

Solution

39.60199 \dots

Solution steps

40 e^{- 0.03 \cdot \frac{4}{12}}

Apply exponent rule:

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

= 40 \cdot \frac{1}{e ^{0.03 \cdot \frac{4}{12}}}

\frac{1}{e ^{0.03 \cdot \frac{4}{12}}} = \frac{1}{e ^{0.01}}

= 40 \cdot \frac{1}{e ^{0.01}}

Multiply fractions:

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

= \frac{1 \cdot 40}{e ^{0.01}}

Multiply the numbers:

1 \cdot 40 = 40

= \frac{40}{e ^{0.01}}

e^{0.01} = 1.01005 \dots

= \frac{40}{1.01005 \dots}

Divide the numbers:

\frac{40}{1.01005 \dots} = 39.60199 \dots

= 39.60199 \dots

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Frequently Asked Questions (FAQ)

What is 40e^{-0.03*4/12} ?
The solution to 40e^{-0.03*4/12} is 39.60199…