Solve (4*10^3)div(6*10^-4)

$$( 4 \times 10 ^ { 3 } ) \div ( 6 \times 10 ^ { - 4 } )$$

Evaluate

$$\frac{20000000}{3}\approx 6666666.666666667$$

Solution Steps

Cancel out 2 in both numerator and denominator.

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

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

$$\frac{2\times 10^{7}}{3}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{2\times 10000000}{3}$$

Multiply 2 and 10000000 to get 20000000.

$$\frac{20000000}{3}$$

Factor

$$\frac{2 ^ {8} \cdot 5 ^ {7}}{3} = 6666666\frac{2}{3} = 6666666.666666667$$