Hi Hmna,
In the future, you should make sure to post your questions in the appropriate sub-Forum. The Problem Solving Forum can be found here:
https://www.beatthegmat.com/problem-solving-f6.html
This question is all about exponent rules. When comparing exponents, it helps if the numbers have the same BASE. Here, the bases are 81 and 27, so we can rewrite those bases as (3^4) and (3^3). Now the given equation can be written as...
(3^4)^P = (3^3)^Q
We're raising 'a power to a power', so we can rewrite the equation one more step...
3^(4P) = 3^(3Q)
Now we know that 4P = 3Q
The question asks for the value of P/Q....
4P = 3Q
P = 3Q/4
P/Q = 3/4
Final Answer:
A
GMAT assassins aren't born, they're made,
Rich