Solve 8^2*5^2/32^2

$$\frac { 8 ^ { 2 } \times 5 ^ { 2 } } { 32 ^ { 2 } }$$

Evaluate

$$\frac{25}{16}=1.5625$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$\frac{64\times 5^{2}}{32^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{64\times 25}{32^{2}}$$

Multiply 64 and 25 to get 1600.

$$\frac{1600}{32^{2}}$$

Calculate 32 to the power of 2 and get 1024.

$$\frac{1600}{1024}$$

Reduce the fraction \frac{1600}{1024} to lowest terms by extracting and canceling out 64.

$$\frac{25}{16}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {4}} = 1\frac{9}{16} = 1.5625$$