Solve [(1+0.029)^4-1/0.029]

$$[ \frac { ( 1 + 0.029 ) ^ { 4 } - 1 } { 0.029 } ]$$

Evaluate

$$4.177388389$$

Solution Steps

Add 1 and 0.029 to get 1.029.

$$\frac{1.029^{4}-1}{0.029}$$

Calculate 1.029 to the power of 4 and get 1.121144263281.

$$\frac{1.121144263281-1}{0.029}$$

Subtract 1 from 1.121144263281 to get 0.121144263281.

$$\frac{0.121144263281}{0.029}$$

Expand \frac{0.121144263281}{0.029} by multiplying both numerator and the denominator by 1000000000000.

$$\frac{121144263281}{29000000000}$$

Reduce the fraction \frac{121144263281}{29000000000} to lowest terms by extracting and canceling out 29.

$$\frac{4177388389}{1000000000}$$

Factor

$$\frac{2029 \cdot 2058841}{2 ^ {9} \cdot 5 ^ {9}} = 4\frac{177388389}{1000000000} = 4.177388389$$