Solve (1+20.90/100)^2-1

$$( 1 + \frac { 20.90 } { 100 } ) ^ { 2 } - 1$$

Evaluate

$$0.461681$$

Solution Steps

Expand \frac{20.9}{100} by multiplying both numerator and the denominator by 10.

$$\left(1+\frac{209}{1000}\right)^{2}-1$$

Add 1 and \frac{209}{1000} to get \frac{1209}{1000}.

$$\left(\frac{1209}{1000}\right)^{2}-1$$

Calculate \frac{1209}{1000} to the power of 2 and get \frac{1461681}{1000000}.

$$\frac{1461681}{1000000}-1$$

Subtract 1 from \frac{1461681}{1000000} to get \frac{461681}{1000000}.

$$\frac{461681}{1000000}$$

Factor

$$\frac{11 \cdot 19 \cdot 47 ^ {2}}{2 ^ {6} \cdot 5 ^ {6}} = 0.461681$$