Solve 5^2*8/2^4*10^3

$$\frac { 5 ^ { 2 } \times 8 } { 2 ^ { 4 } \times 10 ^ { 3 } }$$

Evaluate

$$\frac{1}{80}=0.0125$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{25\times 8}{2^{4}\times 10^{3}}$$

Multiply 25 and 8 to get 200.

$$\frac{200}{2^{4}\times 10^{3}}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{200}{16\times 10^{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{200}{16\times 1000}$$

Multiply 16 and 1000 to get 16000.

$$\frac{200}{16000}$$

Reduce the fraction \frac{200}{16000} to lowest terms by extracting and canceling out 200.

$$\frac{1}{80}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 5} = 0.0125$$