What is 100e^{-0.03221*(1.5)} ?

The solution to 100e^{-0.03221*(1.5)} is 95.28335…

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simplify 100e^{-0.03221*(1.5)}

simplify

100 e^{- 0.03221 \cdot (1.5)}

95.28335 \dots

Solution steps

100 e^{- 0.03221 (1.5)}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{0.03221 \cdot 1.5}}

Multiply the numbers:

0.03221 \cdot 1.5 = 0.048315

= 100 \cdot \frac{1}{e ^{0.048315}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{0.048315}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.048315}}

e^{0.048315} = 1.04950 \dots

= \frac{100}{1.04950 \dots}

Divide the numbers:

\frac{100}{1.04950 \dots} = 95.28335 \dots

= 95.28335 \dots

4.391 \cdot 1 0^{- 3}

4 - x \cdot x^{2} - 1

\frac{- 140}{20}

\frac{e ^{x}}{e ^{6 x}}

x^{4 n}

What is 100e^{-0.03221*(1.5)} ?
The solution to 100e^{-0.03221*(1.5)} is 95.28335…