Solve 1000(1+0,03)^22-1/0,03

$$1000 \frac { ( 1 + 0,03 ) ^ { 22 } - 1 } { 0,03 }$$

Evaluate

$$30536,780295359370429777789600448432934805403$$

Solution Steps

Add 1 and 0,03 to get 1,03.

$$1000\times \frac{1,03^{22}-1}{0,03}$$

Calculate 1,03 to the power of 22 and get 1,91610340886078111289333368801345298804416209.

$$1000\times \frac{1,91610340886078111289333368801345298804416209-1}{0,03}$$

Subtract 1 from 1,91610340886078111289333368801345298804416209 to get 0,91610340886078111289333368801345298804416209.

$$1000\times \frac{0,91610340886078111289333368801345298804416209}{0,03}$$

Expand \frac{0,91610340886078111289333368801345298804416209}{0,03} by multiplying both numerator and the denominator by 100000000000000000000000000000000000000000000.

$$1000\times \frac{91610340886078111289333368801345298804416209}{3000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{91610340886078111289333368801345298804416209}{3000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 3.

$$1000\times \frac{30536780295359370429777789600448432934805403}{1000000000000000000000000000000000000000000}$$

Multiply 1000 and \frac{30536780295359370429777789600448432934805403}{1000000000000000000000000000000000000000000} to get \frac{30536780295359370429777789600448432934805403}{1000000000000000000000000000000000000000}.

$$\frac{30536780295359370429777789600448432934805403}{1000000000000000000000000000000000000000}$$