Answer:
p = 3
Step-by-step explanation:
Symbolically, your math problem reads:
1 1
-------- = --------
p^5 243
We need only solve p^5 = 243 to obtain p.
Note that p^5 = 243.
You're not really expected to memorize 5th powers (tho' it's nice if you can).
Instead, factor 243; we get 3(81), or 3(3)(27). Note that 3(3)(27) = 3(3^1)(3^3). Identify and add together all the exponents of p here: 1+1+3 = 5. This tells us that 243 = 3^5.
Thus, p^5 = 243, and p = 3.
