What is 100e^{-0.5(45)} ?

The solution to 100e^{-0.5(45)} is 1.6919E-8

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simplify 100e^{-0.5(45)}

simplify

100 e^{- 0.5 (45)}

1.6919 E - 8

Solution steps

100 e^{- 0.5 (45)}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{45 \cdot 0.5}}

Multiply the numbers:

0.5 \cdot 45 = 22.5

= 100 \cdot \frac{1}{e ^{22.5}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{22.5}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{22.5}}

e^{22.5} = 5910522063.023284

= \frac{100}{5910522063.023284}

Divide the numbers:

\frac{100}{5910522063.023284} = 1.6919 E - 8

= 1.6919 E - 8

(2.25 \cdot 1 0^{- 14}) (0.028)

250 e^{- 0.04 (18)}

10.8 e^{- 0.12 (5)}

4.38 \cdot 1 0^{- 2}