What is 100e^{-0.00507(24)} ?

The solution to 100e^{-0.00507(24)} is 88.54316…

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simplify 100e^{-0.00507(24)}

simplify

100 e^{- 0.00507 (24)}

88.54316 \dots

Solution steps

100 e^{- 0.00507 (24)}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{24 \cdot 0.00507}}

Multiply the numbers:

0.00507 \cdot 24 = 0.12168

= 100 \cdot \frac{1}{e ^{0.12168}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{0.12168}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.12168}}

e^{0.12168} = 1.12939 \dots

= \frac{100}{1.12939 \dots}

Divide the numbers:

\frac{100}{1.12939 \dots} = 88.54316 \dots

= 88.54316 \dots

4 π \cdot 1 0^{- 7} \cdot 300 \cdot 10

20 e^{- 500 (t - 10)} u (t - 10)

- \frac{18}{12}

(3 + x)^{- 2}