Question 1021021: Find the value of m if 3^3 times 9^3 times 27^3........times 19683^3= 3^m Found 2 solutions by Alan3354, MathLover1:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Find the value of m if 3^3 times 9^3 times 27^3........times 19683^3= 3^m
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--> m = 3+9+27+81+243+728+2187+6561+19683
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do the addition.
You can put this solution on YOUR website!
if *........*
we can write it like
*........*
factor
so we have
as you can see here , each next multiplier has exponent more than previous one, so write all of them up to ...use the rule: if base is same,add exponents
so,