What is 100e^{-0.005074(24)} ?

The solution to 100e^{-0.005074(24)} is 88.53466…

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simplify 100e^{-0.005074(24)}

simplify

100 e^{- 0.005074 (24)}

88.53466 \dots

Solution steps

100 e^{- 0.005074 (24)}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{24 \cdot 0.005074}}

Multiply the numbers:

0.005074 \cdot 24 = 0.121776

= 100 \cdot \frac{1}{e ^{0.121776}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{0.121776}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.121776}}

e^{0.121776} = 1.12950 \dots

= \frac{100}{1.12950 \dots}

Divide the numbers:

\frac{100}{1.12950 \dots} = 88.53466 \dots

= 88.53466 \dots

(4 π \cdot 1 0^{- 7}) (1.9 + 1.7)

1.05 \cdot e^{- 0.04}

4 e^{- 4 x} \cdot e^{4 x}

((- 1.6)^{- 4}) 5

e^{- 3.8 \cdot 0.05}

What is 100e^{-0.005074(24)} ?
The solution to 100e^{-0.005074(24)} is 88.53466…