Solve frac{5^{5}*4^{2}*2^3}{5^4*4^4*2^3}

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

Evaluate

$$\frac{5}{16}=0.3125$$

Solution Steps

Cancel out 2^{3}\times 4^{2}\times 5^{4} in both numerator and denominator.

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

Calculate 4 to the power of 2 and get 16.

$$\frac{5}{16}$$

Factor

$$\frac{5}{2 ^ {4}} = 0.3125$$