SOLUTION: y to the 8th power x y to the 3rd power = y squared how do you find the answer?

Algebra ->  Exponents -> SOLUTION: y to the 8th power x y to the 3rd power = y squared how do you find the answer?       Log On


   

Question 802378: y to the 8th power x y to the 3rd power = y squared
how do you find the answer?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
y to the 8th power x y to the 3rd power = y squared
Assume the problem is
y%5E8%2Ay%5E3+=+y%5E2
y has to equal 1, but here is the procedure
When you multiply like terms, you add the exponents, so you have
y%5E11+=+y%5E2
Divide both sides by y^2
y%5E11%2Fy%5E2 = 1
When you divide like terms, you subtract the dividing exponet
y%5E9 = 1
Find the 9th root of both sides
y = 9sqrt%281%29
y = 1