What is 45e^{-0.45(3)} ?

The solution to 45e^{-0.45(3)} is 11.66581…

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simplify 45e^{-0.45(3)}

simplify

45 e^{- 0.45 (3)}

11.66581 \dots

Solution steps

45 e^{- 0.45 (3)}

Apply exponent rule:

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

= 45 \cdot \frac{1}{e ^{3 \cdot 0.45}}

Multiply the numbers:

0.45 \cdot 3 = 1.35

= 45 \cdot \frac{1}{e ^{1.35}}

Multiply fractions:

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

= \frac{1 \cdot 45}{e ^{1.35}}

Multiply the numbers:

1 \cdot 45 = 45

= \frac{45}{e ^{1.35}}

e^{1.35} = 3.85742 \dots

= \frac{45}{3.85742 \dots}

Divide the numbers:

\frac{45}{3.85742 \dots} = 11.66581 \dots

= 11.66581 \dots

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