Solve 6*10^4/4*600*10^-4

$$\frac { 6 \times 10 ^ { 4 } } { 4 \times 600 \times 10 ^ { - 4 } }$$

Evaluate

$$250000$$

Solution Steps

Cancel out 2\times 3 in both numerator and denominator.

$$\frac{10^{4}}{2\times 200\times 10^{-4}}$$

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

$$\frac{10^{8}}{2\times 200}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{100000000}{2\times 200}$$

Multiply 2 and 200 to get 400.

$$\frac{100000000}{400}$$

Divide 100000000 by 400 to get 250000.

$$250000$$

Factor

$$2^{4}\times 5^{6}$$