Solve 5.6*10^-18/8.9*10^8

$$\frac { 5.6 \times 10 ^ { - 18 } } { 8.9 \times 10 ^ { 8 } }$$

Evaluate

$$\frac{7}{1112500000000000000000000000}\approx 6.292134831 \cdot 10^{-27}$$

Solution Steps

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

$$\frac{5.6}{8.9\times 10^{26}}$$

Calculate 10 to the power of 26 and get 100000000000000000000000000.

$$\frac{5.6}{8.9\times 100000000000000000000000000}$$

Multiply 8.9 and 100000000000000000000000000 to get 890000000000000000000000000.

$$\frac{5.6}{890000000000000000000000000}$$

Expand \frac{5.6}{890000000000000000000000000} by multiplying both numerator and the denominator by 10.

$$\frac{56}{8900000000000000000000000000}$$

Reduce the fraction \frac{56}{8900000000000000000000000000} to lowest terms by extracting and canceling out 8.

$$\frac{7}{1112500000000000000000000000}$$

Factor

$$\frac{7}{89 \cdot 2 ^ {23} \cdot 5 ^ {26}} = 6.2921348314606735 \times 10^{-27}$$