Solve left(1+12.4864right)^5-1/.124865left(1+12.4864right)^5

$$\frac{ { \left(1+12.4864 \right) }^{ 5 } -1 }{ .124865 { \left(1+12.4864 \right) }^{ 5 } }$$

Evaluate

$$\frac{8509602844762614504800000}{1062553940822154221469977}\approx 8.008631391$$

Solution Steps

Add 1 and 12.4864 to get 13.4864.

$$\frac{13.4864^{5}-1}{0.124865\left(1+12.4864\right)^{5}}$$

Calculate 13.4864 to the power of 5 and get 446149.26562749016334925824.

$$\frac{446149.26562749016334925824-1}{0.124865\left(1+12.4864\right)^{5}}$$

Subtract 1 from 446149.26562749016334925824 to get 446148.26562749016334925824.

$$\frac{446148.26562749016334925824}{0.124865\left(1+12.4864\right)^{5}}$$

Add 1 and 12.4864 to get 13.4864.

$$\frac{446148.26562749016334925824}{0.124865\times 13.4864^{5}}$$

Calculate 13.4864 to the power of 5 and get 446149.26562749016334925824.

$$\frac{446148.26562749016334925824}{0.124865\times 446149.26562749016334925824}$$

Multiply 0.124865 and 446149.26562749016334925824 to get 55708.4280525765592466051301376.

$$\frac{446148.26562749016334925824}{55708.4280525765592466051301376}$$

Expand \frac{446148.26562749016334925824}{55708.4280525765592466051301376} by multiplying both numerator and the denominator by 10000000000000000000000000.

$$\frac{4461482656274901633492582400000}{557084280525765592466051301376}$$

Reduce the fraction \frac{4461482656274901633492582400000}{557084280525765592466051301376} to lowest terms by extracting and canceling out 524288.

$$\frac{8509602844762614504800000}{1062553940822154221469977}$$

Factor

$$\frac{11 \cdot 1951 \cdot 15361 \cdot 32266351511 \cdot 2 ^ {8} \cdot 5 ^ {5}}{13 \cdot 17 \cdot 113 \cdot 8429 ^ {5}} = 8\frac{9.171318185382297 \times 10^{21}}{1.062553940822154 \times 10^{24}} = 8.008631390683362$$