What is (1.01^{365})/(0.99^{365)} ?

The solution to (1.01^{365})/(0.99^{365)} is 1480.66019…

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simplify (1.01^{365})/(0.99^{365)}

simplify

\frac{1.0 1 ^{365}}{0.9 9 ^{365}}

1480.66019 \dots

Solution steps

\frac{1.0 1 ^{365}}{0.9 9 ^{365}}

Apply exponent rule:

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

\frac{1.0 1 ^{365}}{0.9 9 ^{365}} = (\frac{1.01}{0.99})^{365}

= (\frac{1.01}{0.99})^{365}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1.0 1 ^{365}}{0.9 9 ^{365}}

1.0 1^{365} = 37.78343 \dots

= \frac{37.78343 \dots}{0.9 9 ^{365}}

0.9 9^{365} = 0.02551 \dots

= \frac{37.78343 \dots}{0.02551 \dots}

Divide the numbers:

\frac{37.78343 \dots}{0.02551 \dots} = 1480.66019 \dots

= 1480.66019 \dots

1 0^{3} 0. 1^{- 6}

8000 (1 + \frac{0.12}{12})^{- 12}

1000 \cdot e^{- 0.1 \cdot 2}

\frac{e ^{n}}{e ^{2 n}}

20 e^{- \frac{t}{0.004}}

What is (1.01^{365})/(0.99^{365)} ?
The solution to (1.01^{365})/(0.99^{365)} is 1480.66019…