What is 100*e^{-0.01*5} ?

The solution to 100*e^{-0.01*5} is 95.12294…

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simplify 100e^{-0.015}

simplify

100 \cdot e^{- 0.01 \cdot 5}

95.12294 \dots

Solution steps

100 e^{- 0.01 \cdot 5}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{5 \cdot 0.01}}

Multiply the numbers:

0.01 \cdot 5 = 0.05

= 100 \cdot \frac{1}{e ^{0.05}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{0.05}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.05}}

e^{0.05} = 1.05127 \dots

= \frac{100}{1.05127 \dots}

Divide the numbers:

\frac{100}{1.05127 \dots} = 95.12294 \dots

= 95.12294 \dots

e^{- (l n (x))^{2}}

\frac{2}{3 y}

2 e^{- \frac{3}{2}}

1.72 \cdot 1 0^{- 6}

(1.6 \cdot 1 0^{- 19}) (5.3 \cdot 1 0^{4})