SOLUTION: Use the five properties of exponents to simplify the following expression: (y^5)^3(y^3)^2/(y^4)^4

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Question 83729: Use the five properties of exponents to simplify the following expression:
(y^5)^3(y^3)^2/(y^4)^4

Answer by lekelly(20) About Me  (Show Source):
You can put this solution on YOUR website!
(y^5)^3(y^3)^2/(y^4)^4
To solve:
step 1: use propery (x^m)^n=x^(m*n) to each term, we get:
[y^(5*3)y^(3*2)]/y^(4*4)
simplify to get: (y^15*y^6)/y^16
step 2: use property x^m*x^n=x^(m+n) to the numerator, we get:
[y^(15+6)/y^16)]
simplify: y^23/y^16
step 3: use property x^m/x^n=x^(m-n) we get:
y^(23-16)
simplify y^7
your answer is y^7