Solve (9×7×8)^(-8): Negative Exponent Expression Challenge

Insert the corresponding expression:

$\left(9\times7\times8\right)^{-8}=$

To solve this problem, we will apply the rule for the power of a product and handle the negative exponent:

• The expression given is $(9 \times 7 \times 8)^{-8}$.
• According to the Power of a Product rule: $(a \times b \times c)^n = a^n \times b^n \times c^n$ where $a$, $b$, and $c$ are the factors inside the parentheses, and $n$ is the exponent.
• Applying this rule, we distribute the exponent $-8$ to each of the factors inside the parentheses:
• $(9 \times 7 \times 8)^{-8} = 9^{-8} \times 7^{-8} \times 8^{-8}$.

Therefore, the solution to the problem is $9^{-8} \times 7^{-8} \times 8^{-8}$.