Solve 2*10^2/2,8*10^-2

$$\frac { 2 \cdot 10 ^ { 2 } } { 2,8 \cdot 10 ^ { - 2 } }$$

Evaluate

$$\frac{50000}{7}\approx 7142,857142857$$

Solution Steps

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

$$\frac{2\times 10^{4}}{2,8}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{2\times 10000}{2,8}$$

Multiply 2 and 10000 to get 20000.

$$\frac{20000}{2,8}$$

Expand \frac{20000}{2,8} by multiplying both numerator and the denominator by 10.

$$\frac{200000}{28}$$

Reduce the fraction \frac{200000}{28} to lowest terms by extracting and canceling out 4.

$$\frac{50000}{7}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {5}}{7} = 7142\frac{6}{7} = 7142.857142857143$$