Calculate the Product: Solving 3^4 × 4^4 Expression

To solve the given expression, we need to apply the 'Power of a Product' rule in exponentiation. This rule states that for any numbers $a$ and $b$:

$a^n \times b^n = (a \times b)^n$

In this problem, the base numbers are 3 and 4, and the exponent is 4. Therefore, we can rewrite the expression $3^4 \times 4^4$ using the power of a product rule:

• Identify the bases: 3 and 4.

• Identify the common exponent: 4.

• Apply the rule: $(3 \times 4)^4$

Thus, the expression $3^4 \times 4^4$ can be rewritten as $(3 \times 4)^4$.