SOLUTION: Find the value of m if 3^3 times 9^3 times 27^3........times 19683^3= 3^m

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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-->
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--> m = 3+9+27+81+243+728+2187+6561+19683
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do the addition.
Answer by MathLover1(20850) (Show Source): 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,

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