Expand the Expression: 3^(2a+x+a) Step by Step

To solve this problem, we'll follow these steps:

• Step 1: Analyze the given expression's exponent.
• Step 2: Apply the exponent addition rule to expand the expression.
• Step 3: Identify the correct choice from a set of given options.

Now, let's work through each step:
Step 1: The expression given is $3^{2a + x + a}$. Here the exponent is $2a + x + a$.
Step 2: We apply the rule $b^{m+n} = b^m \times b^n$ by rewriting the exponent sum as individual terms: $(2a)$, $x$, and $a$.
Thus, we can rewrite the expression using the property of exponents: $3^{2a + x + a} = 3^{2a} \times 3^x \times 3^a$.
Step 3: Upon expanding, the solution corresponds to option :

$3^{2a}\times3^x\times3^a$

Therefore, the expanded expression is $3^{2a}\times3^x\times3^a$.