Solve 8^2/9.6^2

$$\frac{ { 8 }^{ 2 } }{ { 9.6 }^{ 2 } }$$

Evaluate

$$\frac{25}{36}\approx 0.694444444$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$\frac{64}{9.6^{2}}$$

Calculate 9.6 to the power of 2 and get 92.16.

$$\frac{64}{92.16}$$

Expand \frac{64}{92.16} by multiplying both numerator and the denominator by 100.

$$\frac{6400}{9216}$$

Reduce the fraction \frac{6400}{9216} to lowest terms by extracting and canceling out 256.

$$\frac{25}{36}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3 ^ {2}} = 0.6944444444444444$$