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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline17638\frac{1}{76^{38}}

Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline17638\frac{1}{76^{38}}
  1. Identify Base and Exponent: Identify the base and the exponent in the given expression.\newlineIn 17638\frac{1}{76^{38}}, 7676 is the base raised to the exponent 3838, and the entire expression is in the denominator.\newlineBase: 7676\newlineExponent: 3838
  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 17638\frac{1}{76^{38}} as 763876^{-38}.
  3. Check Expression Format: Check if the expression is now written as a whole number with a negative exponent.\newlineThe expression 763876^{-38} is indeed a whole number (7676) with a negative exponent (38-38), which satisfies the requirement of the question prompt.