SOLUTION: Compare and contrast, in complete sentences, the difference between the products of y^2y^5 and (y^2)^5. Provide the expanded form and product of each. *** i dont understand the

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Compare and contrast, in complete sentences, the difference between the products of y^2y^5 and (y^2)^5. Provide the expanded form and product of each. *** i dont understand the      Log On


   

Question 346204: Compare and contrast, in complete sentences, the difference between the products of y^2y^5 and (y^2)^5. Provide the expanded form and product of each.
*** i dont understand the difference of these
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
According to the law of exponents,
y%5E2%2Ay%5E5=y%5E%282%2B5%29=y%5E7
%28y%5E2%29%5E5=y%5E%282%2A5%29=y%5E10
In expanded form,
y%5E2=y%2Ay
y%5E5=y%2Ay%2Ay%2Ay%2Ay
y%5E2%2Ay%5E5=y%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay
While,
y%5E2=y%2Ay
%28y%5E2%29%5E5=+%28y%2Ay%29%2A%28y%2Ay%29%2A%28y%2Ay%29%2A%28y%2Ay%29%2A%28y%2Ay%29
%28y%5E2%29%5E5=y%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay