I would reorder the entire fraction first, to make working with the fractions easier
-2/3+27
________
-1/3+27
Then we should multiply each side of the fraction by the denominator's conjugate.
-2/3+27 (1/3+27)
________________
-1/3+27 (1/3+27)
-2/3+27 (1/3+27) =6478/9
-1/3+27 (1/3+27) =6560/9
You now have a fraction divided by another fraction. you can reorder them by using the reciprocal of the denominator fraction, which allows you to now multiply the two fractions.
6478
____
9
_________
6560
____
9
turns into...
6478 9
____ x _____
9 6560
From here, you multiply across.
You now have:
58302 79
______ Which simplifies into: __
59040 80
79/80 is your final simplified answer. Sorry this is so long, but this is a tough problem.
Using the Rules of Exponents. Please show me how to simplify each expression.
27 -2/3
____
27 -1/3
2 answers
Well, the spacing was kinda off on that as usual, but hopefully you get the idea.