SOLUTION: A. {{{(3cd^2)^2(-2c^3d)^3}}} B. {{{h^m-n(h^m+n+h^m)}}}

Algebra ->  Exponents -> SOLUTION: A. {{{(3cd^2)^2(-2c^3d)^3}}} B. {{{h^m-n(h^m+n+h^m)}}}      Log On


   

Question 206630: A. %283cd%5E2%29%5E2%28-2c%5E3d%29%5E3
B. h%5Em-n%28h%5Em%2Bn%2Bh%5Em%29
Answer by Targetweek(62) About Me  (Show Source):
You can put this solution on YOUR website!
A. %283cd%5E2%29%5E2%28-2c%5E3d%29%5E3
1. First distribute the exponent to everything inside the parenthesis
- %283cd%5E2%29%5E2%28-2c%5E3d%29%5E3
-
2. Now simplify
- 9c%5E2d%5E%282%2A2%29%28-8%29c%5E%283%2A3%29d%5E3
- %289c%5E2d%5E4%29%28-8c%5E9d%5E3%29
- 9%28-8%29%28c%5E2c%5E9%29%28d%5E4d%5E3%29
- -72c%5E%282%2B9%29d%5E%284%2B3%29
= -72c%5E11d%5E7
B. h%5Em-n%28h%5Em%2Bn%2Bh%5Em%29
1. First distribute the n to everything inside the parenthesis
- h%5Em-n%28h%5Em%2Bn%2Bh%5Em%29
- h%5Em-nh%5Em-n%5E2-nh%5Em
2. Now simplify
- -n%5E2-nh%5Em-nh%5Em%2Bh%5Em
= -n%5E2-2nh%5Em%2Bh%5Em