First group the coefficients and variables.

(4y²)(8y⁵) = (4 · 8) (y² · y⁵)

=  (32) (y² · y⁵)            (Multiply: 4 · 8 = 32)

Since base is common, apply the product of powers property: a^m · aⁿ = a^{m + n}.

=  (32) (y^{2 + 5})  

=  32y⁷                        (Add exponents: 2 + 5 = 7)

Product of  (4y²)(8y⁵) is 32y⁷.