Solve 1.08-1.08^8/1-1.08*50

$$\frac{ 1.08- { 1.08 }^{ 8 } }{ 1-1.08 } \times 50$$

Evaluate

$$481.831381426176$$

Solution Steps

Calculate 1.08 to the power of 8 and get 1.8509302102818816.

$$\frac{1.08-1.8509302102818816}{1-1.08}\times 50$$

Subtract 1.8509302102818816 from 1.08 to get -0.7709302102818816.

$$\frac{-0.7709302102818816}{1-1.08}\times 50$$

Subtract 1.08 from 1 to get -0.08.

$$\frac{-0.7709302102818816}{-0.08}\times 50$$

Expand \frac{-0.7709302102818816}{-0.08} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{-7709302102818816}{-800000000000000}\times 50$$

Reduce the fraction \frac{-7709302102818816}{-800000000000000} to lowest terms by extracting and canceling out -131072.

$$\frac{58817307303}{6103515625}\times 50$$

Express \frac{58817307303}{6103515625}\times 50 as a single fraction.

$$\frac{58817307303\times 50}{6103515625}$$

Multiply 58817307303 and 50 to get 2940865365150.

$$\frac{2940865365150}{6103515625}$$

Reduce the fraction \frac{2940865365150}{6103515625} to lowest terms by extracting and canceling out 25.

$$\frac{117634614606}{244140625}$$

Factor

$$\frac{2 \cdot 743 \cdot 1163 \cdot 2521 \cdot 3 ^ {3}}{5 ^ {12}} = 481\frac{202973981}{244140625} = 481.831381426176$$