What is 200e^{-0.005(24)} ?

The solution to 200e^{-0.005(24)} is 177.38408…

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simplify 200e^{-0.005(24)}

simplify

200 e^{- 0.005 (24)}

177.38408 \dots

Solution steps

200 e^{- 0.005 (24)}

Apply exponent rule:

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

= 200 \cdot \frac{1}{e ^{24 \cdot 0.005}}

Multiply the numbers:

0.005 \cdot 24 = 0.12

= 200 \cdot \frac{1}{e ^{0.12}}

Multiply fractions:

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

= \frac{1 \cdot 200}{e ^{0.12}}

Multiply the numbers:

1 \cdot 200 = 200

= \frac{200}{e ^{0.12}}

e^{0.12} = 1.12749 \dots

= \frac{200}{1.12749 \dots}

Divide the numbers:

\frac{200}{1.12749 \dots} = 177.38408 \dots

= 177.38408 \dots

w - w + 1

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