Solve (0.14)^2*0.275/7(0.02)

$$\frac { ( 0.14 ) ^ { 2 } \times 0.275 } { 7 ( 0.02 ) }$$

Evaluate

$$0.0385$$

Solution Steps

Calculate 0.14 to the power of 2 and get 0.0196.

$$\frac{0.0196\times 0.275}{7\times 0.02}$$

Multiply 0.0196 and 0.275 to get 0.00539.

$$\frac{0.00539}{7\times 0.02}$$

Multiply 7 and 0.02 to get 0.14.

$$\frac{0.00539}{0.14}$$

Expand \frac{0.00539}{0.14} by multiplying both numerator and the denominator by 100000.

$$\frac{539}{14000}$$

Reduce the fraction \frac{539}{14000} to lowest terms by extracting and canceling out 7.

$$\frac{77}{2000}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {4} \cdot 5 ^ {3}} = 0.0385$$