Solve 1000*0.1div(1.1^10-1)

$$1000 \times 0.1 \div ( { 1.1 }^{ 10 } -1)$$

Evaluate

$$\frac{1000000000000}{15937424601}\approx 62.745394883$$

Solution Steps

Multiply 1000 and 0.1 to get 100.

$$\frac{100}{1.1^{10}-1}$$

Calculate 1.1 to the power of 10 and get 2.5937424601.

$$\frac{100}{2.5937424601-1}$$

Subtract 1 from 2.5937424601 to get 1.5937424601.

$$\frac{100}{1.5937424601}$$

Expand \frac{100}{1.5937424601} by multiplying both numerator and the denominator by 10000000000.

$$\frac{1000000000000}{15937424601}$$

Factor

$$\frac{2 ^ {12} \cdot 5 ^ {12}}{3 \cdot 7 \cdot 31 \cdot 401 \cdot 61051} = 62\frac{11879674738}{15937424601} = 62.745394882511604$$