To determine the number of terms in the binomial expansion of an expression like (3x)^59, we first need to understand how binomial expansions work.
The general binomial expansion for the binomial expression (a + b)^n has n + 1 terms. In our case, we are dealing with (3x + 0)^59, where 3x is a and 0 is b.
Since the expansion involves a single term raised to the 59th power (i.e., the term 3x), we can simplify the expression to find the number of terms:
- n = 59
- So, the number of terms in the expansion is n + 1 = 59 + 1.
This results in a total of 60 terms in the binomial expansion of (3x)^59.