Solve 268/1+0.2*0.84*(0.36)^2

$$\frac { 268 } { 1 + 0.2 \times 0.84 \times ( 0.36 ) ^ { 2 } }$$

Evaluate

$$\frac{10468750}{39913}\approx 262.289229073$$

Solution Steps

Multiply 0.2 and 0.84 to get 0.168.

$$\frac{268}{1+0.168\times 0.36^{2}}$$

Calculate 0.36 to the power of 2 and get 0.1296.

$$\frac{268}{1+0.168\times 0.1296}$$

Multiply 0.168 and 0.1296 to get 0.0217728.

$$\frac{268}{1+0.0217728}$$

Add 1 and 0.0217728 to get 1.0217728.

$$\frac{268}{1.0217728}$$

Expand \frac{268}{1.0217728} by multiplying both numerator and the denominator by 10000000.

$$\frac{2680000000}{10217728}$$

Reduce the fraction \frac{2680000000}{10217728} to lowest terms by extracting and canceling out 256.

$$\frac{10468750}{39913}$$

Factor

$$\frac{2 \cdot 67 \cdot 5 ^ {7}}{167 \cdot 239} = 262\frac{11544}{39913} = 262.2892290732343$$