What is 2300e^{-0.01(5)} ?

The solution to 2300e^{-0.01(5)} is 2187.82767…

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simplify 2300e^{-0.01(5)}

simplify

2300 e^{- 0.01 (5)}

2187.82767 \dots

Solution steps

2300 e^{- 0.01 (5)}

Apply exponent rule:

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

= 2300 \cdot \frac{1}{e ^{5 \cdot 0.01}}

Multiply the numbers:

0.01 \cdot 5 = 0.05

= 2300 \cdot \frac{1}{e ^{0.05}}

Multiply fractions:

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

= \frac{1 \cdot 2300}{e ^{0.05}}

Multiply the numbers:

1 \cdot 2300 = 2300

= \frac{2300}{e ^{0.05}}

e^{0.05} = 1.05127 \dots

= \frac{2300}{1.05127 \dots}

Divide the numbers:

\frac{2300}{1.05127 \dots} = 2187.82767 \dots

= 2187.82767 \dots

\frac{e ^{2 x}}{e ^{x + 1}}

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\frac{e ^{4 x}}{e ^{3 x}}