Simplify 1/(8⁻⁷ × 9⁻⁷ × 5⁻⁷): Negative Exponent Practice

To solve the problem, follow these steps:

• Given the expression $\frac{1}{8^{-7} \times 9^{-7} \times 5^{-7}}$.
• Apply the negative exponent rule: Each term in the denominator is raised to a negative power.
• Write each term with positive exponents using the reciprocal rule: $\frac{1}{a^{-n}} = a^n$.
• This results in the expression: $8^7 \times 9^7 \times 5^7$.
• The power of a product rule tells us that this is equivalent to $(8 \times 9 \times 5)^7$.

Therefore, the solution is $\left(8 \times 9 \times 5\right)^7$.

Comparing with the multiple-choice options provided, the correct choice is: $\left(8 \times 9 \times 5\right)^7$.