SOLUTION: Hello Tutors, Can one of you kind hearted folks help me out. I can't seem to get this right for some reason. Q: Assume that all variables are Positive and Multiply; y^3/8(y^-3/

Algebra ->  Expressions-with-variables -> SOLUTION: Hello Tutors, Can one of you kind hearted folks help me out. I can't seem to get this right for some reason. Q: Assume that all variables are Positive and Multiply; y^3/8(y^-3/      Log On


   

Question 105557This question is from textbook Intermediate Algebra
: Hello Tutors, Can one of you kind hearted folks help me out. I can't seem to get this right for some reason.
Q: Assume that all variables are Positive and Multiply;
y^3/8(y^-3/8 + 9y^5/8)??
The answers we are given to choose from are,
1) y+9
2) 1+ 9y OR
3)y^-1 + 9y
And unfortunately, no matter what I do I am doing it wromg because I am not geeting any of these answers. Thank You! This question is from textbook Intermediate Algebra

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
When you multiply exponential expressions of the same base you add the exponents.
Like in this example,
x%5EM%2Ax%5EN=x%5E%28M%2BN%29
y%5E%283%2F8%29%2A%28y%5E%28-3%2F8%29+%2B+9y%5E%285%2F8%29%29
Distributive property.
Exponent addition rule from above.
y%5E%283%2F8%29%2A%28y%5E%28-3%2F8%29+%2B+9y%5E%285%2F8%29%29=y%5E%280%29%2B9y%5E%281%29Simplify.
y%5E%283%2F8%29%2A%28y%5E%28-3%2F8%29+%2B+9y%5E%285%2F8%29%29=1%2B9yFinal answer, remember y%5E0=1.
Your answer is 2.
Which step or steps did you get caught on?