Solve 8^2div2^3/4^5

$$\frac { 8 ^ { 2 } \div 2 ^ { 3 } } { 4 ^ { 5 } }$$

Evaluate

$$\frac{1}{128}=0.0078125$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$\frac{\frac{64}{2^{3}}}{4^{5}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{\frac{64}{8}}{4^{5}}$$

Divide 64 by 8 to get 8.

$$\frac{8}{4^{5}}$$

Calculate 4 to the power of 5 and get 1024.

$$\frac{8}{1024}$$

Reduce the fraction \frac{8}{1024} to lowest terms by extracting and canceling out 8.

$$\frac{1}{128}$$

Factor

$$\frac{1}{2 ^ {7}} = 0.0078125$$