What is 5000*(e^{0.22})/(e^{0.08)} ?

The solution to 5000*(e^{0.22})/(e^{0.08)} is 5751.36899…

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simplify 5000*(e^{0.22})/(e^{0.08)}

simplify

5000 \cdot \frac{e ^{0.22}}{e ^{0.08}}

5751.36899 \dots

Solution steps

5000 \cdot \frac{e ^{0.22}}{e ^{0.08}}

Apply exponent rule:

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

= 5000 e^{0.22 - 0.08}

Subtract the numbers:

0.22 - 0.08 = 0.14

= 5000 e^{0.14}

e^{0.14} = 1.15027 \dots

= 5000 \cdot 1.15027 \dots

Multiply the numbers:

5000 \cdot 1.15027 \dots = 5751.36899 \dots

= 5751.36899 \dots

(\frac{1}{2}) (π) (500) (0.56 \cdot 1 0^{- 6})

15 e^{- 0.3 \cdot 0}

(e^{8 x})^{2}

3.81 \cdot 1 0^{- 4}

t^{2} e^{(- 2 t)}

What is 5000*(e^{0.22})/(e^{0.08)} ?
The solution to 5000*(e^{0.22})/(e^{0.08)} is 5751.36899…