What is e^{-0.03*35}*0.95 ?

The solution to e^{-0.03*35}*0.95 is 0.33244…

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simplify e^{-0.0335}0.95

simplify

e^{- 0.03 \cdot 35} \cdot 0.95

0.33244 \dots

Solution steps

e^{- 0.03 \cdot 35} \cdot 0.95

Apply exponent rule:

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

= 0.95 \cdot \frac{1}{e ^{35 \cdot 0.03}}

Multiply the numbers:

0.03 \cdot 35 = 1.05

= 0.95 \cdot \frac{1}{e ^{1.05}}

Multiply fractions:

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

= \frac{1 \cdot 0.95}{e ^{1.05}}

Multiply the numbers:

1 \cdot 0.95 = 0.95

= \frac{0.95}{e ^{1.05}}

e^{1.05} = 2.85765 \dots

= \frac{0.95}{2.85765 \dots}

Divide the numbers:

\frac{0.95}{2.85765 \dots} = 0.33244 \dots

= 0.33244 \dots

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