SOLUTION: Help.... (-4m^2n^4)^3 (-3m^3n^2)^2 / (-6m^2n^3)^6

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Question 286155: Help....
(-4m^2n^4)^3 (-3m^3n^2)^2 / (-6m^2n^3)^6

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Use the four identities


1. %28ab%29%5Ex=a%5Ex%2Ab%5Ex. Basically, you can either multiply first, then exponentiate, OR, exponentiate and then multiply. (note: this can expand to any number of terms inside the parenthesis. So you could have 50 terms in the parenthesis if you wanted). Example: %283x%29%5E3=%283%29%5E3%2A%28x%29%5E3


2. %28x%5Ey%29%5Ez=x%5E%28y%2Az%29. When you raise an exponential expression to another exponent, you're going to multiply the exponents. Example: %28x%5E2%29%5E3=x%5E%282%2A3%29=x%5E6


3. a%5Ex%2Aa%5Ey=a%5E%28x%2By%29. When you multiply monomials (with a common base), you're going to add the exponents. Example: x%5E3%2Ax%5E5=x%5E%283%2B5%29=x%5E8


4. a%5Ex%2Fa%5Ey=a%5E%28x-y%29. When you divide monomials (with a common base), you're going to subtract the exponents. Example: x%5E8%2Fx%5E5=x%5E%288-5%29=x%5E3