Solve (9×2)^(-6): Negative Exponent Expression

To solve this problem, we'll apply the power of a product rule for exponents:

• Step 1: Identify the expression $(9 \times 2)^{-6}$.
• Step 2: Apply the power of a product rule, which states $(a \times b)^n = a^n \times b^n$.
• Step 3: Simplify the expression using the rule $(9 \times 2)^{-6} = 9^{-6} \times 2^{-6}$.

By performing these steps, the expression $(9 \times 2)^{-6}$ becomes equivalent to $9^{-6} \times 2^{-6}$.

Therefore, the solution to the problem is $9^{-6} \times 2^{-6}$.