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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline139\frac{1}{3^9}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline139\frac{1}{3^9}
  1. Identify Base and Exponent: Identify the base and the exponent in the given expression 139\frac{1}{3^9}. The base is 33, and the exponent is 99. The expression is the reciprocal of 33 raised to the power of 99.
  2. Apply Negative Exponent Rule: Apply the negative exponent rule to rewrite the expression.\newlineThe negative exponent rule states that a−m=1ama^{-m} = \frac{1}{a^m}. Therefore, we can write 139\frac{1}{3^9} as 3−93^{-9}.
  3. Check Expression Format: Check if the expression is now written as a whole number with a negative exponent.\newlineThe expression 3−93^{-9} is indeed a whole number (33) with a negative exponent (−9-9), which satisfies the requirement.

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