Final answer:
To express (5.6*10^-18)/(8.9*10^8) in scientific notation, you divide the coefficients and subtract the exponents of 10. The result is approximately 6.29*10^-27.
Step-by-step explanation:
To calculate (5.6 \(\times\) 10^{-18}) / (8.9 \(\times\) 10^8) and express it in scientific notation, you need to divide the coefficients (5.6 by 8.9) and subtract the exponents of 10 (-18 - 8 = -26), because when dividing powers of the same base you subtract the exponents.
The calculation of the coefficients is:
5.6 / 8.9 = 0.6292134831...
But we need to express it in scientific notation, so we convert it to a coeficient between 1 and 10:
0.6292134831= 6.292134831\(\times\) 10^{-1}
Now, combine this with the power of 10 calculated earlier:
6.292134831 \(\times\) 10^{-1} \(\times\) 10^{-26} = 6.292134831 \(\times\) 10^{-27}
Therefore, the answer in scientific notation is 6.29 \(\times\) 10^{-27}, rounded to two decimal places.