SOLUTION: Divide a^3 b^4 c^6 by a^4 b^2, then divide that by a^2 b^3 d The posted answer is c divided by a^3 b d. How was that obtained. Can you "spell" out the thinking and process that

Algebra ->  Algebra  -> Exponents -> SOLUTION: Divide a^3 b^4 c^6 by a^4 b^2, then divide that by a^2 b^3 d The posted answer is c divided by a^3 b d. How was that obtained. Can you "spell" out the thinking and process that       Log On

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Question 68100: Divide a^3 b^4 c^6 by a^4 b^2, then divide that by a^2 b^3 d The posted answer is c divided by a^3 b d. How was that obtained. Can you "spell" out the thinking and process that led to that answer?
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
Divide a^3 b^4 c^6 by a^4 b^2, then divide that by a^2 b^3 d The posted answer is c divided by a^3 b d. How was that obtained. Can you "spell" out the thinking and process that led to that answer?
When you divide like bases, you subtract their exponents.
a%5E%283-4-2%29%2Ab%5E%284-3-2%29%29c%5E6%2Ad%5E%280-1%29
a%5E%28-3%29b%5E%28-1%29c%5E6d%5E%28-1%29 Anything with a negative exponent goes into the denominator:
C%5E6%2F%28a%5E3b%5E1d%5E1%29
highlight%28C%5E6%2F%28a%5E3bd%29%29
Another way to do it is this:
a%5E3b%5E4c%5E6%2F%28a%5E4b%5E2%29 divided by a%5E2b%5E3d Flip the last term over and multiply:
%28a%5E3b%5E4c%5E6%2F%28a%5E4b%5E2%29%29%2A%281%2F%28a%5E2b%5E3d%29%29
a%5E3b%5E4c%5E6%2F%28%28a%5E4b%5E2%29%28a%5E2b%5E3d%29%29
a%5E3b%5E4c%5E6%2F%28a%5E%284%2B2%29b%5E%282%2B3%29d%29 add the exponents of like bases when multiplying.
a%5E3b%5E4c%5E6%2F%28a%5E6b%5E5d%29 subtract the smaller exponents of like bases and cancel.
c%5E6%2F%28a%5E%286-3%29%2Ab%5E%285-4%29d%29
highlight%28c%5E6%2F%28a%5E3bd%29%29
Hope that clears things up!
Happy Calculating!!!