What is 20e^{-0.03*1/4} ?

The solution to 20e^{-0.03*1/4} is 19.85056…

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simplify 20e^{-0.03*1/4}

simplify

20 e^{- 0.03 \cdot \frac{1}{4}}

19.85056 \dots

Solution steps

20 e^{- 0.03 \cdot \frac{1}{4}}

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{0.03 \cdot \frac{1}{4}}}

\frac{1}{e ^{0.03 \cdot \frac{1}{4}}} = \frac{1}{e ^{0.0075}}

= 20 \cdot \frac{1}{e ^{0.0075}}

Multiply fractions:

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

= \frac{1 \cdot 20}{e ^{0.0075}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20}{e ^{0.0075}}

e^{0.0075} = 1.00752 \dots

= \frac{20}{1.00752 \dots}

Divide the numbers:

\frac{20}{1.00752 \dots} = 19.85056 \dots

= 19.85056 \dots

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