Solve 1.06^5-1/0.06*20

$$\frac{ { 1.06 }^{ 5 } -1 }{ 0.06 } \times 20$$

Evaluate

$$112.7418592$$

Solution Steps

Calculate 1.06 to the power of 5 and get 1.3382255776.

$$\frac{1.3382255776-1}{0.06}\times 20$$

Subtract 1 from 1.3382255776 to get 0.3382255776.

$$\frac{0.3382255776}{0.06}\times 20$$

Expand \frac{0.3382255776}{0.06} by multiplying both numerator and the denominator by 10000000000.

$$\frac{3382255776}{600000000}\times 20$$

Reduce the fraction \frac{3382255776}{600000000} to lowest terms by extracting and canceling out 96.

$$\frac{35231831}{6250000}\times 20$$

Express \frac{35231831}{6250000}\times 20 as a single fraction.

$$\frac{35231831\times 20}{6250000}$$

Multiply 35231831 and 20 to get 704636620.

$$\frac{704636620}{6250000}$$

Reduce the fraction \frac{704636620}{6250000} to lowest terms by extracting and canceling out 20.

$$\frac{35231831}{312500}$$

Factor

$$\frac{61 \cdot 181 \cdot 3191}{2 ^ {2} \cdot 5 ^ {7}} = 112\frac{231831}{312500} = 112.7418592$$