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We began our in-class assignment by talking about why does have a solution, whereas does not . Let’s talk about the same thing graphically .
On the graph below, do a quick sketch of .
ppp
On the graph below, do a quick sketch of .
ppp
Based on your sketch in exercise #2…
OK, let’s get a bit more practice with .
In class, we made a table of powers of , and found that there was a repeating pattern. Make that table again quickly below, to see the pattern.
Now let’s walk that table backward . Assuming the pattern keeps up as you back up, fill in the following table. (Start at the bottom.)
Did it work? Let’s figure it out. What should be, according to our general rules of exponents?
What should be, according to our general rules of exponents? Can you simplify it to look like the answer in your table?
What should be, according to our general rules of exponents? Can you simplify it to look like the answer in your table?
What should be, according to our general rules of exponents? Can you simplify it to look like the answer in your table?
Simplify the fraction .
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