SOLUTION: If (y^2) x (y^a) = y^8 and (y^2)^b= (y^12) what is a + b? Thanks!

Question 643377: If (y^2) x (y^a) = y^8 and (y^2)^b= (y^12) what is a + b? Thanks!
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
what is ?
Whenever you multiply two terms with the same base, you can add the exponents:

so, you have:
...=>...if bases are equal, then exponents are equal too
...=>...=>...=>...
and
-Whenever you have an exponent expression that is raised to a power, you can multiply the exponent and power:

so, you have:
...=>......=>......=>...

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