SOLUTION: 11z^3/5p^6 * 25p^8/121z

Algebra ->  Expressions-with-variables -> SOLUTION: 11z^3/5p^6 * 25p^8/121z      Log On


   

Question 150625: 11z^3/5p^6 * 25p^8/121z
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%2811z%5E3%29%2F%285p%5E6%29%29%28%2825p%5E8%29%2F%28121z%29%29 Start with the given expression.


%28%2811z%5E3%29%2825p%5E8%29%29%2F%28%285p%5E6%29%28121z%29%29 Combine the fractions.


%28275p%5E8z%5E3%29%2F%28%285p%5E6%29%28121z%29%29 Multiply 11z%5E3 and 25p%5E8 to get %2811z%5E3%29%2825p%5E8%29=11%2A25%2Ap%5E8z%5E3=275p%5E8z%5E3


%28275p%5E8z%5E3%29%2F%2855p%5E6z%29 Multiply 5p%5E6 and 121z to get %285p%5E6%29%28121z%29=5%2A11%2Ap%5E6z=55p%5E6z


Expand. Remember, 275p%5E8z%5E3=5%2A5%2A11%2Ap%2Ap%2Ap%2Ap%2Ap%2Ap%2Ap%2Ap%2Az%2Az%2Az and 55p%5E6z=5%2A11%2Ap%2Ap%2Ap%2Ap%2Ap%2Ap%2Az


Highlight the common terms.


Cancel out the common terms.


5%2Ap%2Ap%2Az%2Az Simplify.


5%2Ap%5E2%2Az%5E2 Regroup.


So %28%2811z%5E3%29%2F%285p%5E6%29%29%28%2825p%5E8%29%2F%28121z%29%29 simplifies to 5%2Ap%5E2%2Az%5E2.


In other words, %28%2811z%5E3%29%2F%285p%5E6%29%29%28%2825p%5E8%29%2F%28121z%29%29=5%2Ap%5E2%2Az%5E2 where p%3C%3E0 or z%3C%3E0