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Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline176\frac{1}{7^6}

Full solution

Q. Write the expression as a fraction with a positive exponent. Do not evaluate the expression. \newline176\frac{1}{7^6}
  1. Understand negative exponent rule: Understand the negative exponent rule.\newlineThe negative exponent rule states that am=1ama^{-m} = \frac{1}{a^m}, where aa is the base and mm is the positive exponent.\newlineIn this case, aa is 77 and mm is 66.
  2. Apply negative exponent rule: Apply the negative exponent rule to the given expression.\newlineUsing the rule from Step 11, we can rewrite 767^{-6} as 1/761 / 7^{6}.
  3. Check for errors: Check for any mathematical errors.\newlineThere are no calculations to perform since we are not evaluating the expression, but we can check that we applied the negative exponent rule correctly. The base 77 remains the same, and the exponent 6-6 becomes positive in the denominator, which is correct.