Solve 2^3*16*5^2/2^4*5^5*5

$$\frac { 2 ^ { 3 } \times 16 \times 5 ^ { 2 } } { 2 ^ { 4 } \times 5 ^ { 5 } \times 5 }$$

Evaluate

$$\frac{8}{625}=0.0128$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$\frac{2^{3}\times 16\times 5^{2}}{2^{4}\times 5^{6}}$$

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

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

Calculate 5 to the power of 4 and get 625.

$$\frac{8}{625}$$

Factor

$$\frac{2 ^ {3}}{5 ^ {4}} = 0.0128$$