Solve 12*150001-1.1^35/1-1.1

$$12 \cdot 15000 \frac{ 1- { 1.1 }^{ 35 } }{ 1-1.1 }$$

Evaluate

$$48784386.326515646131101850260361287318$$

Solution Steps

Multiply 12 and 15000 to get 180000.

$$180000\times \frac{1-1.1^{35}}{1-1.1}$$

Calculate 1.1 to the power of 35 and get 28.10243684806424785061213903353404851.

$$180000\times \frac{1-28.10243684806424785061213903353404851}{1-1.1}$$

Subtract 28.10243684806424785061213903353404851 from 1 to get -27.10243684806424785061213903353404851.

$$180000\times \frac{-27.10243684806424785061213903353404851}{1-1.1}$$

Subtract 1.1 from 1 to get -0.1.

$$180000\times \frac{-27.10243684806424785061213903353404851}{-0.1}$$

Expand \frac{-27.10243684806424785061213903353404851}{-0.1} by multiplying both numerator and the denominator by 100000000000000000000000000000000000.

$$180000\times \frac{-2710243684806424785061213903353404851}{-10000000000000000000000000000000000}$$

Fraction \frac{-2710243684806424785061213903353404851}{-10000000000000000000000000000000000} can be simplified to \frac{2710243684806424785061213903353404851}{10000000000000000000000000000000000} by removing the negative sign from both the numerator and the denominator.

$$180000\times \frac{2710243684806424785061213903353404851}{10000000000000000000000000000000000}$$

Express 180000\times \frac{2710243684806424785061213903353404851}{10000000000000000000000000000000000} as a single fraction.

$$\frac{180000\times 2710243684806424785061213903353404851}{10000000000000000000000000000000000}$$

Multiply 180000 and 2710243684806424785061213903353404851 to get 487843863265156461311018502603612873180000.

$$\frac{487843863265156461311018502603612873180000}{10000000000000000000000000000000000}$$

Reduce the fraction \frac{487843863265156461311018502603612873180000}{10000000000000000000000000000000000} to lowest terms by extracting and canceling out 20000.

$$\frac{24392193163257823065550925130180643659}{500000000000000000000000000000}$$

Factor

$$\frac{1471 \cdot 1499 \cdot 6329 \cdot 61051 \cdot 582164591 \cdot 5464121793971 \cdot 3 ^ {2}}{2 ^ {29} \cdot 5 ^ {30}} = 48784386\frac{1.6325782141875465 \times 10^{29}}{5.000000000000001 \times 10^{29}} = 48784386.326515645$$