What is 5/100 e^{-(10^{-2})/(100*10^{-2)}} ?

The solution to 5/100 e^{-(10^{-2})/(100*10^{-2)}} is 1/(20e^{1/100)}

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simplify 5/100 e^{-(10^{-2})/(100*10^{-2)}}

simplify

\frac{5}{100} e^{- \frac{1 0 ^{- 2}}{100 \cdot 1 0 ^{- 2}}}

\frac{1}{20 e ^{\frac{1}{100}}}

Decimal Notation

0.04950 \dots

Solution steps

\frac{5}{100} e^{- \frac{1 0 ^{- 2}}{100 \cdot 1 0 ^{- 2}}}

Apply exponent rule:

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

= \frac{5}{100} \cdot \frac{1}{e ^{\frac{1 0 ^{- 2}}{1 0 ^{- 2} \cdot 100}}}

\frac{5}{100} = \frac{1}{20}

= \frac{1}{20} \cdot \frac{1}{e ^{\frac{1 0 ^{- 2}}{1 0 ^{- 2} \cdot 100}}}

\frac{1}{e ^{\frac{1 0 ^{- 2}}{100 \cdot 1 0 ^{- 2}}}} = \frac{1}{e ^{\frac{1}{100}}}

= \frac{1}{20} \cdot \frac{1}{e ^{\frac{1}{100}}}

Multiply fractions:

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

= \frac{1 \cdot 1}{20 e ^{\frac{1}{100}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{20 e ^{\frac{1}{100}}}

5 - 26 \cdot 5 + 26

\frac{9 \cdot 1 0 ^{9}}{0.28} \cdot (4 \cdot 4.5) \cdot 1 0^{- 6}

x (x (x - 1)^{2})

2.73 \cdot 1 0^{- 4}

(1.67 \cdot 1 0^{- 27}) (3 \cdot 1 0^{8})^{2}

What is 5/100 e^{-(10^{-2})/(100*10^{-2)}} ?
The solution to 5/100 e^{-(10^{-2})/(100*10^{-2)}} is 1/(20e^{1/100)}