Solve 5^5:5^3/8^5:8^3

$$\frac { 5 ^ { 5 } : 5 ^ { 3 } } { 8 ^ { 5 } : 8 ^ { 3 } }$$

Evaluate

$$\frac{25}{64}=0.390625$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 5 to get 2.

$$\frac{5^{2}}{\frac{8^{5}}{8^{3}}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 5 to get 2.

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

Calculate 5 to the power of 2 and get 25.

$$\frac{25}{8^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{25}{64}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {6}} = 0.390625$$