What is 10e^{-1/(105(0.01))} ?

The solution to 10e^{-1/(105(0.01))} is 3.85821…

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simplify 10e^{-1/(105(0.01))}

simplify

10 e^{- \frac{1}{105 ( 0.01 )}}

3.85821 \dots

Solution steps

10 e^{- \frac{1}{105 ( 0.01 )}}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{\frac{1}{105 \cdot 0.01}}}

Multiply the numbers:

105 \cdot 0.01 = 1.05

= 10 \cdot \frac{1}{e ^{\frac{1}{1.05}}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{\frac{1}{1.05}}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{\frac{1}{1.05}}}

e^{\frac{1}{1.05}} = 2.59187 \dots

= \frac{10}{2.59187 \dots}

Divide the numbers:

\frac{10}{2.59187 \dots} = 3.85821 \dots

= 3.85821 \dots

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