Thread: Multiply. write answer is lowest form.?

Multiply. write answer is lowest form.
-11y^4 times 49y^6
_____ _______
7y^4 times 121y
it's a fraction and the line is seperating top from bottom.
i did -1.11.7.7.y^4.y^6
______________ then i did 11.7y^5 times -7y^5
7.11.11.y.y^4 ______ ______
11.7y^5 11

I don't get how i got y to the 5th powered? or what to do next

So this is ?
I presume you immediately noticed that and .

i did -1.11.7.7.y^4.y^6

Okay, that is because
in the numerator
and you have 7.11.11.y.y^4 which is
in the denominator.
and you should see that one "11" in both numerator and denominator will cancel and that one "7" in both numerator and denominator will cancel so you have
.

Now, as always in mathematics, you can do that in several different ways. First, you can write, or imagine, that " " as 10 separate "y"s in the numerator and the " " in the denominator as 5 separate "y"s in the denominator and cancel 5 of them leaving " " in the numerator. Or you could "move" that "[itex]y^5[/itex]" into the numerator where it becomes " ". And then, of course,
you have . Finally, you could use the exponent law derived in that way- so that .