Expand the Exponential Expression: 4^(4+6) Step-by-Step

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

• Step 1: Identify the base and the exponents in the expression
• Step 2: Apply the exponent rule $a^{m+n} = a^m \times a^n$
• Step 3: Rewrite the expression using the rule

Now, let's work through each step:
Step 1: The problem gives us the expression $(4)^{4+6}$. Here, the base is 4, and the exponent is the sum $4 + 6$.
Step 2: We'll apply the rule $a^{m+n} = a^m \times a^n$, which allows us to write the expression as the product of two powers.
Step 3: According to the rule, $(4)^{4+6}$ becomes $(4)^4 \times (4)^6$.

This means that $(4)^{4+6}$ expands to $(4)^4 \times (4)^6$.

Therefore, the solution to the problem is $\boxed{4^4 \times 4^6}$, corresponding to choice 4.