What is 105*e^{-0.04*1} ?

The solution to 105*e^{-0.04*1} is 100.88289…

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simplify 105e^{-0.041}

simplify

105 \cdot e^{- 0.04 \cdot 1}

100.88289 \dots

Solution steps

105 e^{- 0.04 \cdot 1}

Apply exponent rule:

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

= 105 \cdot \frac{1}{e ^{1 \cdot 0.04}}

Multiply the numbers:

0.04 \cdot 1 = 0.04

= 105 \cdot \frac{1}{e ^{0.04}}

Multiply fractions:

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

= \frac{1 \cdot 105}{e ^{0.04}}

Multiply the numbers:

1 \cdot 105 = 105

= \frac{105}{e ^{0.04}}

e^{0.04} = 1.04081 \dots

= \frac{105}{1.04081 \dots}

Divide the numbers:

\frac{105}{1.04081 \dots} = 100.88289 \dots

= 100.88289 \dots

2 \cdot 0 e^{- \frac{0}{2}}

3 a^{2} (b - a)^{2}

\frac{1}{2} ((5) (0.1))^{2}

2.426 \cdot 1 0^{- 2}

25.25 \cdot 1 0^{- 4}