Solve (1.092)^13/0.042-1

$$\frac { ( 1.092 ) ^ { 13 } } { 0.042 } - 1$$

Evaluate

$$73.755819784880355908755899389875060736$$

Solution Steps

Calculate 1.092 to the power of 13 and get 3.139744430964974948167747774374752550912.

$$\frac{3.139744430964974948167747774374752550912}{0.042}-1$$

Expand \frac{3.139744430964974948167747774374752550912}{0.042} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000.

$$\frac{3139744430964974948167747774374752550912}{42000000000000000000000000000000000000}-1$$

Reduce the fraction \frac{3139744430964974948167747774374752550912}{42000000000000000000000000000000000000} to lowest terms by extracting and canceling out 1409286144.

$$\frac{2227897041585456010960218292173}{29802322387695312500000000000}-1$$

Convert 1 to fraction \frac{29802322387695312500000000000}{29802322387695312500000000000}.

$$\frac{2227897041585456010960218292173}{29802322387695312500000000000}-\frac{29802322387695312500000000000}{29802322387695312500000000000}$$

Since \frac{2227897041585456010960218292173}{29802322387695312500000000000} and \frac{29802322387695312500000000000}{29802322387695312500000000000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2227897041585456010960218292173-29802322387695312500000000000}{29802322387695312500000000000}$$

Subtract 29802322387695312500000000000 from 2227897041585456010960218292173 to get 2198094719197760698460218292173.

$$\frac{2198094719197760698460218292173}{29802322387695312500000000000}$$

Factor

$$\frac{37 \cdot 10487 \cdot 5664915169612211511447167}{2 ^ {11} \cdot 5 ^ {36}} = 73\frac{2.252518489600294 \times 10^{28}}{2.9802322387695317 \times 10^{28}} = 73.75581978488036$$