Answer
$$(4y)^{7} = 4^{7}y^{7}$$
Work Step by Step
Products to Powers rule: $(ab)^{n} = a^{n}\cdot b^{n}$ states that when a product is raised to a power, raise each factor to that power.
For example, to simplify the expression $(4y)^{7}$, raise each factor ($4$ and $y$) by the exponent $7$.
Thus,
$$(4y)^{7} = 4^{7}y^{7}$$
