What is 1600e^{-0.04(100)} ?

The solution to 1600e^{-0.04(100)} is (1600)/(e^4)

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simplify 1600e^{-0.04(100)}

simplify

1600 e^{- 0.04 (100)}

\frac{1600}{e ^{4}}

Decimal Notation

29.30502 \dots

Solution steps

1600 e^{- 0.04 (100)}

Apply exponent rule:

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

= 1600 \cdot \frac{1}{e ^{100 \cdot 0.04}}

Multiply the numbers:

0.04 \cdot 100 = 4

= 1600 \cdot \frac{1}{e ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 1600}{e ^{4}}

Multiply the numbers:

1 \cdot 1600 = 1600

= \frac{1600}{e ^{4}}

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