What is 20(60)e^{-0.06(60)} ?

The solution to 20(60)e^{-0.06(60)} is 32.78846…

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simplify 20(60)e^{-0.06(60)}

simplify

20 (60) e^{- 0.06 (60)}

32.78846 \dots

Solution steps

20 (60) e^{- 0.06 (60)}

Apply exponent rule:

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

= 20 \cdot 60 \cdot \frac{1}{e ^{60 \cdot 0.06}}

Multiply the numbers:

0.06 \cdot 60 = 3.6

= 20 \cdot 60 \cdot \frac{1}{e ^{3.6}}

Multiply fractions:

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

= \frac{1 \cdot 20 \cdot 60}{e ^{3.6}}

Multiply the numbers:

1 \cdot 20 \cdot 60 = 1200

= \frac{1200}{e ^{3.6}}

e^{3.6} = 36.59823 \dots

= \frac{1200}{36.59823 \dots}

Divide the numbers:

\frac{1200}{36.59823 \dots} = 32.78846 \dots

= 32.78846 \dots

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