Reduce the Expression: Product of a⁸ × b⁸ × c⁸

To reduce the expression $a^8 \times b^8 \times c^8$, we can apply the Power of a Product Rule, which states that when multiplying powers with the same exponent across different bases, we can combine them into a single power. Specifically, this rule is written as:

$(x^m \times y^m \times z^m) = (x \times y \times z)^m.$

Applying this rule to our expression $a^8 \times b^8 \times c^8$, we identify $x = a$, $y = b$, and $z = c$, all with the exponent $m = 8$. Therefore, we can simplify the expression to:

$(a \times b \times c)^8.$

Thus, the reduced form of the given expression is:

$(a \times b \times c)^8$.