Solve (1.90)^2/(0.6)^2(0.82)

$$\frac { ( 1.90 ) ^ { 2 } } { ( 0.6 ) ^ { 2 } ( 0.82 ) }$$

Evaluate

$$\frac{9025}{738}\approx 12.22899729$$

Solution Steps

Calculate 1.9 to the power of 2 and get 3.61.

$$\frac{3.61}{0.6^{2}\times 0.82}$$

Calculate 0.6 to the power of 2 and get 0.36.

$$\frac{3.61}{0.36\times 0.82}$$

Multiply 0.36 and 0.82 to get 0.2952.

$$\frac{3.61}{0.2952}$$

Expand \frac{3.61}{0.2952} by multiplying both numerator and the denominator by 10000.

$$\frac{36100}{2952}$$

Reduce the fraction \frac{36100}{2952} to lowest terms by extracting and canceling out 4.

$$\frac{9025}{738}$$

Factor

$$\frac{5 ^ {2} \cdot 19 ^ {2}}{2 \cdot 41 \cdot 3 ^ {2}} = 12\frac{169}{738} = 12.2289972899729$$