college algebra word problem

Question

Find the indicated term of the binomial without fully expanding the binomial.

The fourth term of (2x − 6y)^⁵

Answer 1

5(2x)(-6y)^4

power becomes a coefficient for the 2nd and 4th terms

(2x) has power of 1 for the 4th term

(-6y) has power of 4 for the 4th term

the powers add up to 5