Solve 100*0.08*1.08^8div(1.08^8-1)=

$$100 \times 0.08 \times 1.08 ^ { 8 } \div ( 1.08 ^ { 8 } - 1 ) =$$

Evaluate

$$\frac{282429536481}{16230205732}\approx 17.401476059$$

Solution Steps

Multiply 100 and 0.08 to get 8.

$$\frac{8\times 1.08^{8}}{1.08^{8}-1}$$

Calculate 1.08 to the power of 8 and get 1.8509302102818816.

$$\frac{8\times 1.8509302102818816}{1.08^{8}-1}$$

Multiply 8 and 1.8509302102818816 to get 14.8074416822550528.

$$\frac{14.8074416822550528}{1.08^{8}-1}$$

Calculate 1.08 to the power of 8 and get 1.8509302102818816.

$$\frac{14.8074416822550528}{1.8509302102818816-1}$$

Subtract 1 from 1.8509302102818816 to get 0.8509302102818816.

$$\frac{14.8074416822550528}{0.8509302102818816}$$

Expand \frac{14.8074416822550528}{0.8509302102818816} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{148074416822550528}{8509302102818816}$$

Reduce the fraction \frac{148074416822550528}{8509302102818816} to lowest terms by extracting and canceling out 524288.

$$\frac{282429536481}{16230205732}$$

Factor

$$\frac{3 ^ {24}}{13 \cdot 241 \cdot 677 \cdot 1913 \cdot 2 ^ {2}} = 17\frac{6516039037}{16230205732} = 17.40147605918222$$