To simplify the expression 4b²(2b⁵), we need to multiply the coefficients (numbers) and add the exponents of the variable b.
Multiplying the coefficients 4 and 2 gives us 8, and adding the exponents of b (2 and 5) gives us a total of 7.
Therefore, we can simplify the expression as:
4b²(2b⁵) = 8b⁷
So the simplified expression is 8b⁷.