Solve 1.5*10^4*8*10^-5/70

$$1.5 \times 10 ^ { 4 } \times \frac { 8 \times 10 ^ { - 5 } } { 70 }$$

Evaluate

$$\frac{3}{175}\approx 0.017142857$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$1.5\times 10000\times \frac{8\times 10^{-5}}{70}$$

Multiply 1.5 and 10000 to get 15000.

$$15000\times \frac{8\times 10^{-5}}{70}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$15000\times \frac{8\times \frac{1}{100000}}{70}$$

Multiply 8 and \frac{1}{100000} to get \frac{1}{12500}.

$$15000\times \frac{\frac{1}{12500}}{70}$$

Express \frac{\frac{1}{12500}}{70} as a single fraction.

$$15000\times \frac{1}{12500\times 70}$$

Multiply 12500 and 70 to get 875000.

$$15000\times \frac{1}{875000}$$

Multiply 15000 and \frac{1}{875000} to get \frac{3}{175}.

$$\frac{3}{175}$$

Factor

$$\frac{3}{7 \cdot 5 ^ {2}} = 0.017142857142857144$$