In general, a^a/b^b = (a/b)^a b^(a-b) = (a/b)^b a^(a-b) In cases such as this one where a=2b, this can be further simplified as (4b)^b. More generally, if a=kb, then a^a/b^b = ((k^k)(b^(k-1)))^b. E.g. 45^45/15^15 = 6,075^15. I can understand why a=2b is always used in these examples!
In general, a^a/b^b = (a/b)^a b^(a-b) = (a/b)^b a^(a-b)
In cases such as this one where a=2b, this can be further simplified as (4b)^b.
More generally, if a=kb, then a^a/b^b = ((k^k)(b^(k-1)))^b. E.g. 45^45/15^15 = 6,075^15.
I can understand why a=2b is always used in these examples!
Answer: 2^30*3^15*5^15
60v15
Got it!
60¹⁵