Solve 0.5*10^-3*9.8/14*10^-2

$$\frac { 0.5 \times 10 ^ { - 3 } \times 9.8 } { 14 \times 10 ^ { - 2 } }$$

Evaluate

$$0.035$$

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{0.5\times 9.8}{14\times 10^{1}}$$

Multiply 0.5 and 9.8 to get 4.9.

$$\frac{4.9}{14\times 10^{1}}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{4.9}{14\times 10}$$

Multiply 14 and 10 to get 140.

$$\frac{4.9}{140}$$

Expand \frac{4.9}{140} by multiplying both numerator and the denominator by 10.

$$\frac{49}{1400}$$

Reduce the fraction \frac{49}{1400} to lowest terms by extracting and canceling out 7.

$$\frac{7}{200}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 5 ^ {2}} = 0.035$$