Solve 614*1-(1+0.56)^24/1-1-frac{0.56{100}}

$$614 \times \frac { 1 - ( 1 + 0.56 ) ^ { 24 } } { 1 - 1 - \frac { 0.56 } { 100 } }$$

Evaluate

$$4731083793.08235388684181362737422937428234419488948224$$

Solution Steps

Add 1 and 0.56 to get 1.56.

$$614\times \frac{1-1.56^{24}}{1-1-\frac{0.56}{100}}$$

Calculate 1.56 to the power of 24 and get 43150.949904334172257840645461393622957623986142314496.

$$614\times \frac{1-43150.949904334172257840645461393622957623986142314496}{1-1-\frac{0.56}{100}}$$

Subtract 43150.949904334172257840645461393622957623986142314496 from 1 to get -43149.949904334172257840645461393622957623986142314496.

$$614\times \frac{-43149.949904334172257840645461393622957623986142314496}{1-1-\frac{0.56}{100}}$$

Subtract 1 from 1 to get 0.

$$614\times \frac{-43149.949904334172257840645461393622957623986142314496}{-\frac{0.56}{100}}$$

Expand \frac{0.56}{100} by multiplying both numerator and the denominator by 100.

$$614\times \frac{-43149.949904334172257840645461393622957623986142314496}{-\frac{56}{10000}}$$

Reduce the fraction \frac{56}{10000} to lowest terms by extracting and canceling out 8.

$$614\times \frac{-43149.949904334172257840645461393622957623986142314496}{-\frac{7}{1250}}$$

Divide -43149.949904334172257840645461393622957623986142314496 by -\frac{7}{1250} by multiplying -43149.949904334172257840645461393622957623986142314496 by the reciprocal of -\frac{7}{1250}.

$$614\left(-43149.949904334172257840645461393622957623986142314496\right)\left(-\frac{1250}{7}\right)$$

Multiply -43149.949904334172257840645461393622957623986142314496 and -\frac{1250}{7} to get \frac{43799833504195537218087603659651992576}{5684341886080801486968994140625}.

$$614\times \frac{43799833504195537218087603659651992576}{5684341886080801486968994140625}$$

Multiply 614 and \frac{43799833504195537218087603659651992576}{5684341886080801486968994140625} to get \frac{26893097771576059851905788647026323441664}{5684341886080801486968994140625}.

$$\frac{26893097771576059851905788647026323441664}{5684341886080801486968994140625}$$

Factor

$$\frac{29 \cdot 37 \cdot 73 \cdot 307 \cdot 1171 \cdot 3121 \cdot 4153 \cdot 18521 \cdot 1753441 \cdot 1107851977 \cdot 2 ^ {11}}{5 ^ {44}} = 4731083793\frac{4.6812440139815905 \times 10^{29}}{5.6843418860808015 \times 10^{30}} = 4731083793.082354$$