SOLUTION: Simplify. (m^4)^3(m^2)^9/(m^3)^2

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Question 83985: Simplify. (m^4)^3(m^2)^9/(m^3)^2
Answer by tutorcecilia(2144) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28m%5E4%29%5E3%28m%5E2%29%5E9%2F%28m%5E3%29%5E2%29
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=%28%28m%5E%284%2A3%29%29%28m%5E%282%2A9%29%29%2F%28m%5E%283%2A2%29%29%29 [multiply exponents raised to another power]
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=%28%28m%5E%2812%29%29%28m%5E%2818%29%29%2F%28m%5E%286%29%29%29
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=%28%28m%5E%2812%2B18%29%29%2F%28m%5E%286%29%29%29[add exponents that are multiply by another exponent]
.
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=%28%28m%5E%2830%29%29%2F%28m%5E%286%29%29%29 [subtract exponents that are divided by another exponent]
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=%28%28m%5E%2830-6%29%29%2F%28m%5E%286-6%29%29%29
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=%28%28m%5E%2824%29%29%2F%28m%5E%280%29%29%29[any number or term raised to the "zero power" equals "1"}
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=%28%28m%5E%2824%29%29%2F%281%29%29%29
=%28m%5E24%29