Solve 3*10/8/10^5

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

Evaluate

$$\frac{3}{80000}=0.0000375$$

Solution Steps

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

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

Express 3\times \frac{5}{4} as a single fraction.

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

Multiply 3 and 5 to get 15.

$$\frac{\frac{15}{4}}{10^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{\frac{15}{4}}{100000}$$

Express \frac{\frac{15}{4}}{100000} as a single fraction.

$$\frac{15}{4\times 100000}$$

Multiply 4 and 100000 to get 400000.

$$\frac{15}{400000}$$

Reduce the fraction \frac{15}{400000} to lowest terms by extracting and canceling out 5.

$$\frac{3}{80000}$$

Factor

$$\frac{3}{2 ^ {7} \cdot 5 ^ {4}} = 3.7499999999999996 \times 10^{-5}$$