Expand the Expression: Finding (b×z×a)^5

To solve the problem, we will use the rule of exponents known as the power of a product rule, which states that for any real numbers or expressions $x$, $y$ raised to a power $n$, the following holds:

$(x \times y)^n = x^n \times y^n$.

We have the expression $\left(b \times z \times a\right)^5$. According to the power of a product rule, we apply the exponent 5 to each factor inside the parenthesis.

Let's break it down:

• Apply $5$ to $b$: $(b)^5 = b^5$.
• Apply $5$ to $z$: $(z)^5 = z^5$.
• Apply $5$ to $a$: $(a)^5 = a^5$.

By applying the exponent to each factor, we obtain:
$(b \times z \times a)^5 = b^5 \times z^5 \times a^5$.

Since multiplication is commutative, we can write it in any order, and a common convention is ordering it alphabetically:

Thus, $a^5 \times b^5 \times z^5$ is the simplified expression.

Therefore, the correct answer to the problem is $a^5 \times b^5 \times z^5$, which corresponds to choice 1.