Solve 1.06^10-1/0.06*1.06^10

$$\frac { 1.06 ^ { 10 } - 1 } { 0.06 \times 1.06 ^ { 10 } }$$

Evaluate

$$\frac{1287187006091884150}{174887470365513049}\approx 7.360087051$$

Solution Steps

Calculate 1.06 to the power of 10 and get 1.79084769654285362176.

$$\frac{1.79084769654285362176-1}{0.06\times 1.06^{10}}$$

Subtract 1 from 1.79084769654285362176 to get 0.79084769654285362176.

$$\frac{0.79084769654285362176}{0.06\times 1.06^{10}}$$

Calculate 1.06 to the power of 10 and get 1.79084769654285362176.

$$\frac{0.79084769654285362176}{0.06\times 1.79084769654285362176}$$

Multiply 0.06 and 1.79084769654285362176 to get 0.1074508617925712173056.

$$\frac{0.79084769654285362176}{0.1074508617925712173056}$$

Expand \frac{0.79084769654285362176}{0.1074508617925712173056} by multiplying both numerator and the denominator by 10000000000000000000000.

$$\frac{7908476965428536217600}{1074508617925712173056}$$

Reduce the fraction \frac{7908476965428536217600}{1074508617925712173056} to lowest terms by extracting and canceling out 6144.

$$\frac{1287187006091884150}{174887470365513049}$$

Factor

$$\frac{2 \cdot 11 \cdot 61 \cdot 103 \cdot 151 \cdot 181 \cdot 3191 \cdot 4271 \cdot 5 ^ {2}}{53 ^ {10}} = 7\frac{62974713533292900}{1.7488747036551306 \times 10^{17}} = 7.360087051414697$$