SOLUTION: use the product rule to simplify the expression. y*y^8*y^5= Can you show me how to do this, i dont understand it.

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: use the product rule to simplify the expression. y*y^8*y^5= Can you show me how to do this, i dont understand it.      Log On


   



Question 415237: use the product rule to simplify the expression.
y*y^8*y^5=


Can you show me how to do this, i dont understand it.

Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




You need the product rule, a definition, and a property:

You need the definition:

You need the associative property to tell you that it doesn't matter which pair of factors to which you apply the product rule first.

You need the product rule:



Then all you need is to add




John

My calculator said it, I believe it, that settles it
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Just write this expression without exponents:
y%2A%28y%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%29%2A%28y%2Ay%2Ay%2Ay%2Ay%29
Now what is this whole thing using exponents?
y%2A%28y%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%29%2A%28y%2Ay%2Ay%2Ay%2Ay%29+=+y%5E14
What did you do?
(1 y) x (8 y's) x (5 y's) = 14 y's
( 1 + 8 + 5 = 14 )
So, to get the product of y's with exponents,
you just add the exponents
y%5E1%2Ay%5E8%2Ay%5E5+=+y%5E%281+%2B+8+%2B+5%29
Give yourself some more examples and practice
to drill it in.