Solve 14,000*0.024/1.024^11-1=

$$\frac { 14,000 \cdot 0.024 } { 1.024 ^ { 11 } - 1 } =$$

Evaluate

$$\frac{13038516044616699218750000}{11566801874964610795049}\approx 1127.236048958$$

Solution Steps

Multiply 14000 and 0.024 to get 336.

$$\frac{336}{1.024^{11}-1}$$

Calculate 1.024 to the power of 11 and get 1.298074214633706907132624082305024.

$$\frac{336}{1.298074214633706907132624082305024-1}$$

Subtract 1 from 1.298074214633706907132624082305024 to get 0.298074214633706907132624082305024.

$$\frac{336}{0.298074214633706907132624082305024}$$

Expand \frac{336}{0.298074214633706907132624082305024} by multiplying both numerator and the denominator by 1000000000000000000000000000000000.

$$\frac{336000000000000000000000000000000000}{298074214633706907132624082305024}$$

Reduce the fraction \frac{336000000000000000000000000000000000}{298074214633706907132624082305024} to lowest terms by extracting and canceling out 25769803776.

$$\frac{13038516044616699218750000}{11566801874964610795049}$$

Factor

$$\frac{7 \cdot 2 ^ {4} \cdot 5 ^ {33}}{267521 \cdot 43236986535504169} = 1127\frac{2.7303315315810526 \times 10^{21}}{1.1566801874964612 \times 10^{22}} = 1127.2360489581386$$