SOLUTION: use the fifth property of exponent and simplify: {{{ ( (y^5)^3(y^3)^2 )/( (y^4)^4) }}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: use the fifth property of exponent and simplify: {{{ ( (y^5)^3(y^3)^2 )/( (y^4)^4) }}}       Log On


   

Question 93565: use the fifth property of exponent and simplify:
+%28+%28y%5E5%29%5E3%28y%5E3%29%5E2+%29%2F%28+%28y%5E4%29%5E4%29+
Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!

use the fifth property of exponent and simplify:

 +%28+%28y%5E5%29%5E3%28y%5E3%29%5E2+%29%2F%28+%28y%5E4%29%5E4%29+

Multiply exponents across a parentheses to remove them.

That is, 

1. multiply the exponent 5 by the exponent 3 in 
the first factor on top to get an exponent of 15.

2. multiply the exponent 3 by the exponent 2 in 
the second factor on top to get an exponent of 6.

3. multiply the exponent 4 by the exponent 4 in 
the bottom to get an exponent of 16.

%28y%5E15y%5E6%29%2Fy%5E16

Now multiply on top by adding the exponents on top 
15+6 to get an exponent of 21 on top:

y%5E21%2Fy%5E16

Now divide by subtracting the exponents 21-16 to
get an exponent of 5

y%5E5

Edwin