Solve 12,5^40-1/2,5-1

$$1 \frac { 2,5 ^ { 40 } - 1 } { 2,5 - 1 }$$

Evaluate

$$\frac{36379788070917129516601562498}{3}\approx 1,212659602 \cdot 10^{28}$$

Solution Steps

Calculate 5 to the power of 40 and get 9094947017729282379150390625.

$$1\times \frac{2\times 9094947017729282379150390625-1}{2,5-1}$$

Multiply 2 and 9094947017729282379150390625 to get 18189894035458564758300781250.

$$1\times \frac{18189894035458564758300781250-1}{2,5-1}$$

Subtract 1 from 18189894035458564758300781250 to get 18189894035458564758300781249.

$$1\times \frac{18189894035458564758300781249}{2,5-1}$$

Subtract 1 from 2,5 to get 1,5.

$$1\times \frac{18189894035458564758300781249}{1,5}$$

Expand \frac{18189894035458564758300781249}{1,5} by multiplying both numerator and the denominator by 10.

$$1\times \frac{181898940354585647583007812490}{15}$$

Reduce the fraction \frac{181898940354585647583007812490}{15} to lowest terms by extracting and canceling out 5.

$$1\times \frac{36379788070917129516601562498}{3}$$

Multiply 1 and \frac{36379788070917129516601562498}{3} to get \frac{36379788070917129516601562498}{3}.

$$\frac{36379788070917129516601562498}{3}$$