Complete the Expression: 4³ × x³ × 6³ Multiplication Problem

To solve the problem, let's use the power of a product rule, which states that the product of several terms raised to the same power can be expressed as one parenthesis where the terms are multiplied, raised to that power.

Given the expression:

• $4^3 \times x^3 \times 6^3$

We observe that all the terms $4$, $x$, and $6$ are each raised to the power of $3$. Therefore, we can represent this expression using a single power as follows:

$\left(4 \times x \times 6\right)^3$

This transformation uses the formula $(a \times b \times c)^n = a^n \times b^n \times c^n$, taking advantage of corresponding exponents.

Therefore, the simplified expression is $\left(4 \times x \times 6\right)^3$.