Solve (c×b×a)²: Finding the Square of a Three-Variable Product

Insert the corresponding expression:

$\left(c\times b\times a\right)^2=$

Step 1: The problem provides the expression $\left(c \times b \times a\right)^2$ and asks us to expand it.
Step 2: We'll use the exponent rule for the power of a product, which states that $(xyz)^n = x^n \times y^n \times z^n$. Applying this rule to our expression, we get:
$\left(c \times b \times a\right)^2 = c^2 \times b^2 \times a^2$
Since multiplication is commutative, the order of the factors doesn't affect the product. Therefore, the expression can also be written as:
$\left(c \times b \times a\right)^2 = a^2 \times b^2 \times c^2$

Therefore, the correct expressions are $c^2 \times b^2 \times a^2$ and $a^2 \times b^2 \times c^2$.