What is 100e^{-0.005*24} ?

The solution to 100e^{-0.005*24} is 88.69204…

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simplify 100e^{-0.005*24}

simplify

100 e^{- 0.005 \cdot 24}

88.69204 \dots

Solution steps

100 e^{- 0.005 \cdot 24}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{24 \cdot 0.005}}

Multiply the numbers:

0.005 \cdot 24 = 0.12

= 100 \cdot \frac{1}{e ^{0.12}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{0.12}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.12}}

e^{0.12} = 1.12749 \dots

= \frac{100}{1.12749 \dots}

Divide the numbers:

\frac{100}{1.12749 \dots} = 88.69204 \dots

= 88.69204 \dots

\frac{5 0 ^{3}}{1. 5 ^{3}}

(0.001) \cdot (6 \cdot 1 0^{- 5})

- 0.24 (5)^{- 2}

3 x y^{2} (2^{^{'}} x^{2} y)

(x^{2} y) y