What is 10e^{-1/((108*0.002))} ?

The solution to 10e^{-1/((108*0.002))} is 0.09758…

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simplify 10e^{-1/((108*0.002))}

simplify

10 e^{- \frac{1}{( 108 \cdot 0.002 )}}

0.09758 \dots

Solution steps

10 e^{- \frac{1}{( 108 \cdot 0.002 )}}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{\frac{1}{108 \cdot 0.002}}}

Multiply the numbers:

108 \cdot 0.002 = 0.216

= 10 \cdot \frac{1}{e ^{\frac{1}{0.216}}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{\frac{1}{0.216}}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{\frac{1}{0.216}}}

e^{\frac{1}{0.216}} = 102.47610 \dots

= \frac{10}{102.47610 \dots}

Divide the numbers:

\frac{10}{102.47610 \dots} = 0.09758 \dots

= 0.09758 \dots

(2.25 \cdot 1 0^{- 2}) ((0.28)^{2})

e^{- \frac{1}{x} d x}

\frac{d}{d x} (x^{2} + y^{2} + z^{2})

What is 10e^{-1/((108*0.002))} ?
The solution to 10e^{-1/((108*0.002))} is 0.09758…