SOLUTION: {{{(18a^3*b^3)/(9a^3b)}}}

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Question 206114This question is from textbook algebra 1 an integrated approach
: %2818a%5E3%2Ab%5E3%29%2F%289a%5E3b%29
 This question is from textbook algebra 1 an integrated approach

Answer by Targetweek(62) About Me  (Show Source):
You can put this solution on YOUR website!
1. First expand each term as much as possible
- %2818a%5E3%2Ab%5E3%29%2F%289a%5E3b%29
- %28%283%29%283%29%282%29a%5E3%2Ab%5E3%29%2F%28%283%29%283%29a%5E3b%29
- %283%2A3%2A2%2Aa%2Aa%2Aa%2Ab%5E3%29%2F%283%2A3%2Aa%2Aa%2Aa%2Ab%29
- %283%2A3%2A2%2Aa%2Aa%2Aa%2Ab%2Ab%2Ab%29%2F%283%2A3%2Aa%2Aa%2Aa%2Ab%29
2. Now cross out everything that's both on top and on bottom
- %283%2A3%2A2%2Aa%2Aa%2Aa%2Ab%2Ab%2Ab%29%2F%283%2A3%2Aa%2Aa%2Aa%2Ab%29
a. First 2 3's
- %282%2Aa%2Aa%2Aa%2Ab%2Ab%2Ab%29%2F%28a%2Aa%2Aa%2Ab%29
b. Next 3 a's
- %282%2Ab%2Ab%2Ab%29%2F%28b%29
c. Next 1 b
- %282%2Ab%2Ab%29%2F1
3. Now simplify
- %282%2Ab%2Ab%29%2F1
- 2b%5E2
4. Your answer is 2b%5E2