What is 36e^{-0.9(4)} ?

The solution to 36e^{-0.9(4)} is 0.98365…

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simplify 36e^{-0.9(4)}

simplify

36 e^{- 0.9 (4)}

0.98365 \dots

Solution steps

36 e^{- 0.9 (4)}

Apply exponent rule:

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

= 36 \cdot \frac{1}{e ^{4 \cdot 0.9}}

Multiply the numbers:

0.9 \cdot 4 = 3.6

= 36 \cdot \frac{1}{e ^{3.6}}

Multiply fractions:

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

= \frac{1 \cdot 36}{e ^{3.6}}

Multiply the numbers:

1 \cdot 36 = 36

= \frac{36}{e ^{3.6}}

e^{3.6} = 36.59823 \dots

= \frac{36}{36.59823 \dots}

Divide the numbers:

\frac{36}{36.59823 \dots} = 0.98365 \dots

= 0.98365 \dots

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