SOLUTION: Question: If a= 3^3^2^3 , and then b= (((3^3)^3)^3)^3 , express a/b as a power of 3. A) 3^81 B) 3^243 C) 3^648 D) 3^9 E) 3^6480 I have tried and simplified it down to 3^18

Algebra ->  Exponents -> SOLUTION: Question: If a= 3^3^2^3 , and then b= (((3^3)^3)^3)^3 , express a/b as a power of 3. A) 3^81 B) 3^243 C) 3^648 D) 3^9 E) 3^6480 I have tried and simplified it down to 3^18      Log On


   

Question 1168832: Question:
If a= 3^3^2^3 , and then b= (((3^3)^3)^3)^3 , express a/b as a power of 3.
A) 3^81
B) 3^243
C) 3^648
D) 3^9
E) 3^6480
I have tried and simplified it down to 3^18 / 3^81
I am not sure what to do from here.
Thank you!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If a=+3%5E3%5E2%5E3 , and then b=+%28%28%283%5E3%29%5E3%29%5E3%29%5E3 , express+a%2Fb as a power of 3.
a=3%5E3%5E2%5E3=3%5E3%5E8=3%5E6561
b=+%28%28%283%5E3%29%5E3%29%5E3%29%5E3=+%28%283%5E3%29%5E3%29%5E9=+%283%5E3%29%5E27=3%5E81
a%2Fb=3%5E6561%2F3%5E81=3%5E%286561-81%29=3%5E6480
so, answer is:
E) 3%5E6480