What is 24e^{-0.16(12)} ?

The solution to 24e^{-0.16(12)} is 3.51856…

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simplify 24e^{-0.16(12)}

simplify

24 e^{- 0.16 (12)}

3.51856 \dots

Solution steps

24 e^{- 0.16 (12)}

Apply exponent rule:

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

= 24 \cdot \frac{1}{e ^{12 \cdot 0.16}}

Multiply the numbers:

0.16 \cdot 12 = 1.92

= 24 \cdot \frac{1}{e ^{1.92}}

Multiply fractions:

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

= \frac{1 \cdot 24}{e ^{1.92}}

Multiply the numbers:

1 \cdot 24 = 24

= \frac{24}{e ^{1.92}}

e^{1.92} = 6.82095 \dots

= \frac{24}{6.82095 \dots}

Divide the numbers:

\frac{24}{6.82095 \dots} = 3.51856 \dots

= 3.51856 \dots

e^{- \infty} \cdot \infty

\frac{3}{19}

e^{- 2 x} \times e^{- x}

4 (1) e^{- 1}

3 e^{5} \times 2 e^{4} \times 32 \times 81 e^{1}