What is 24e^{-6/((20*0.1))} ?

The solution to 24e^{-6/((20*0.1))} is (24)/(e^3)

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simplify 24e^{-6/((20*0.1))}

simplify

24 e^{- \frac{6}{( 20 \cdot 0.1 )}}

\frac{24}{e ^{3}}

Decimal Notation

1.19488 \dots

Solution steps

24 e^{- \frac{6}{( 20 \cdot 0.1 )}}

Apply exponent rule:

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

= 24 \cdot \frac{1}{e ^{\frac{6}{20 \cdot 0.1}}}

\frac{1}{e ^{\frac{6}{20 \cdot 0.1}}} = \frac{1}{e ^{3}}

= 24 \cdot \frac{1}{e ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 24}{e ^{3}}

Multiply the numbers:

1 \cdot 24 = 24

= \frac{24}{e ^{3}}

3 e^{- 0.4 (10)}

- 10000 \cdot e^{- 10000}

9.25 \cdot 1 0^{- 5}

0.9 x 1 0^{- 1}

1.60218 \cdot 1 0^{- 19} \cdot 2