SOLUTION: find the value of m if 3 to the the power of 3 times 9 to the power of 3 times 27 to the power of 3 times ....19683 to the power of 3 =3 to the power of m.

Algebra ->  Exponents -> SOLUTION: find the value of m if 3 to the the power of 3 times 9 to the power of 3 times 27 to the power of 3 times ....19683 to the power of 3 =3 to the power of m.      Log On


   



Question 1070162: find the value of m if 3 to the the power of 3 times 9 to the power of 3 times 27 to the power of 3 times ....19683 to the power of 3 =3 to the power of m.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the value of m if 3 to the the power of 3 times 9 to the power of 3 times 27 to the power of 3 times ....19683 to the power of 3 =3 to the power of m.
------
Note 19683 = 27^3 = 3^(3*3
3^3*3(2*3)*3(3*3)= 3^m
----
m = 3+6+9
m = 18
------------
Cheers,
Stan H.
---------------