What is 1.5e^{-0.03223(1.5)} ?

The solution to 1.5e^{-0.03223(1.5)} is 1.42920…

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simplify 1.5e^{-0.03223(1.5)}

simplify

1.5 e^{- 0.03223 (1.5)}

1.42920 \dots

Solution steps

1.5 e^{- 0.03223 (1.5)}

Apply exponent rule:

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

= 1.5 \cdot \frac{1}{e ^{0.03223 \cdot 1.5}}

Multiply the numbers:

0.03223 \cdot 1.5 = 0.048345

= 1.5 \cdot \frac{1}{e ^{0.048345}}

Multiply fractions:

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

= \frac{1 \cdot 1.5}{e ^{0.048345}}

Multiply the numbers:

1 \cdot 1.5 = 1.5

= \frac{1.5}{e ^{0.048345}}

e^{0.048345} = 1.04953 \dots

= \frac{1.5}{1.04953 \dots}

Divide the numbers:

\frac{1.5}{1.04953 \dots} = 1.42920 \dots

= 1.42920 \dots

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