Expand the Expression: Solving (7×4×a)^5

We begin by applying the power of a product rule to the expression $(7 \times 4 \times a)^5$.

The power of a product rule states that $(x \times y \times z)^n = x^n \times y^n \times z^n$.

In this case, the expression inside the parentheses is $7 \times 4 \times a$, and it is being raised to the 5th power. We apply the exponent to each factor:

$7^5$

$4^5$

$a^5$

Therefore, the corresponding expression is $\boxed{7^5 \times 4^5 \times a^5}$.