Solve 10-10*1.17^9/1-1.17/10*9

$$\frac{ \frac{ 10-10 \times { 1.17 }^{ 9 } }{ 1-1.17 } }{ 10 \times 9 }$$

Evaluate

$$\frac{182847078393403141}{90000000000000000}\approx 2.031634204$$

Solution Steps

Calculate 1.17 to the power of 9 and get 4.108400332687853397.

$$\frac{\frac{10-10\times 4.108400332687853397}{1-1.17}}{10\times 9}$$

Multiply 10 and 4.108400332687853397 to get 41.08400332687853397.

$$\frac{\frac{10-41.08400332687853397}{1-1.17}}{10\times 9}$$

Subtract 41.08400332687853397 from 10 to get -31.08400332687853397.

$$\frac{\frac{-31.08400332687853397}{1-1.17}}{10\times 9}$$

Subtract 1.17 from 1 to get -0.17.

$$\frac{\frac{-31.08400332687853397}{-0.17}}{10\times 9}$$

Expand \frac{-31.08400332687853397}{-0.17} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{\frac{-3108400332687853397}{-17000000000000000}}{10\times 9}$$

Reduce the fraction \frac{-3108400332687853397}{-17000000000000000} to lowest terms by extracting and canceling out -17.

$$\frac{\frac{182847078393403141}{1000000000000000}}{10\times 9}$$

Multiply 10 and 9 to get 90.

$$\frac{\frac{182847078393403141}{1000000000000000}}{90}$$

Express \frac{\frac{182847078393403141}{1000000000000000}}{90} as a single fraction.

$$\frac{182847078393403141}{1000000000000000\times 90}$$

Multiply 1000000000000000 and 90 to get 90000000000000000.

$$\frac{182847078393403141}{90000000000000000}$$

Factor

$$\frac{43 \cdot 823 \cdot 194581 \cdot 26553349}{2 ^ {16} \cdot 3 ^ {2} \cdot 5 ^ {16}} = 2\frac{2847078393403136}{90000000000000000} = 2.031634204371146$$