What is 10000e^{-0.02(50)} ?

The solution to 10000e^{-0.02(50)} is (10000)/e

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simplify 10000e^{-0.02(50)}

simplify

10000 e^{- 0.02 (50)}

\frac{10000}{e}

Decimal Notation

3678.79441 \dots

Solution steps

10000 e^{- 0.02 (50)}

Apply exponent rule:

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

= 10000 \cdot \frac{1}{e ^{50 \cdot 0.02}}

e^{0.02 \cdot 50} = e

= 10000 \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 10000}{e}

Multiply the numbers:

1 \cdot 10000 = 10000

= \frac{10000}{e}

6 6^{2}

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