Solve 1.4/3.5*10^6/10^3

$$\frac{ 1.4 }{ 3.5 } \times \frac{ { 10 }^{ 6 } }{ { 10 }^{ 3 } }$$

Evaluate

$$400$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 6 to get 3.

$$\frac{1.4}{3.5}\times 10^{3}$$

Expand \frac{1.4}{3.5} by multiplying both numerator and the denominator by 10.

$$\frac{14}{35}\times 10^{3}$$

Reduce the fraction \frac{14}{35} to lowest terms by extracting and canceling out 7.

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

Calculate 10 to the power of 3 and get 1000.

$$\frac{2}{5}\times 1000$$

Express \frac{2}{5}\times 1000 as a single fraction.

$$\frac{2\times 1000}{5}$$

Multiply 2 and 1000 to get 2000.

$$\frac{2000}{5}$$

Divide 2000 by 5 to get 400.

$$400$$

Factor

$$2^{4}\times 5^{2}$$