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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1496\frac{1}{49^6}

Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1496\frac{1}{49^6}
  1. Identify Base and Exponent: Identify the base and the exponent in the given expression 1496\frac{1}{49^6}.\newlineThe base is 4949 and it is raised to the exponent 66. The entire expression is under the division by 11.\newlineBase: 4949\newlineExponent: 66
  2. Apply Negative Exponent Rule: Apply the negative exponent rule to rewrite the expression.\newlineThe negative exponent rule states that am=1ama^{-m} = \frac{1}{a^m}. Therefore, we can write 1496\frac{1}{49^6} as 49649^{-6}.
  3. Check Expression Format: Check the expression to ensure it is written as a whole number with a negative exponent.\newlineThe expression 49649^{-6} is now correctly written as a whole number with a negative exponent.