What is 99*e^{-0.25*30} ?

The solution to 99*e^{-0.25*30} is 0.05475…

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simplify 99e^{-0.2530}

simplify

99 \cdot e^{- 0.25 \cdot 30}

0.05475 \dots

Solution steps

99 e^{- 0.25 \cdot 30}

Apply exponent rule:

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

= 99 \cdot \frac{1}{e ^{30 \cdot 0.25}}

Multiply the numbers:

0.25 \cdot 30 = 7.5

= 99 \cdot \frac{1}{e ^{7.5}}

Multiply fractions:

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

= \frac{1 \cdot 99}{e ^{7.5}}

Multiply the numbers:

1 \cdot 99 = 99

= \frac{99}{e ^{7.5}}

e^{7.5} = 1808.04241 \dots

= \frac{99}{1808.04241 \dots}

Divide the numbers:

\frac{99}{1808.04241 \dots} = 0.05475 \dots

= 0.05475 \dots

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1.3 \cdot 1 0^{- 4} (π \cdot 0.010 5^{2})

e^{- 0.026951088}