Solve the Exponential Product: 11^6 × 4^6

To solve the given expression, we need to apply the rule known as the Power of a Product. This rule states that the product of two numbers raised to the same power can be expressed as the product of those numbers raised to that power. Mathematically, it's represented as: $a^n \times b^n = (a \times b)^n$.

In our given problem, we have $11^6 \times 4^6$.

• Here, the base numbers are 11 and 4, and both are raised to the 6th power.
• According to the Power of a Product rule, we can combine these into a single expression: $(11 \times 4)^6$.

Thus, the expression $11^6 \times 4^6$ can be rewritten as $(11 \times 4)^6$. This is the simplified or equivalent expression.