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Which is equal to 1199\frac{1}{19^9}?\newlineChoices:\newline(A) 19−919^{-9}\newline(B) −119−9-\frac{1}{19^{-9}}\newline(C) −199-19^9\newline(D) 19919^9

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Full solution

Q. Which is equal to 1199\frac{1}{19^9}?\newlineChoices:\newline(A) 19−919^{-9}\newline(B) −119−9-\frac{1}{19^{-9}}\newline(C) −199-19^9\newline(D) 19919^9
  1. Understand Expression: Understand the given expression 1199\frac{1}{19^9}. The expression 1199\frac{1}{19^9} represents the reciprocal of 1919 raised to the power of 99.
  2. Apply Negative Exponent Rule: Apply the negative exponent rule.\newlineThe negative exponent rule states that a−m=1ama^{-m} = \frac{1}{a^m}. Therefore, to express 1199\frac{1}{19^9} with a negative exponent, we can write it as 19−919^{-9}.
  3. Match with Choices: Match the expression with the given choices.\newlineComparing the expression 19−919^{-9} with the given choices, we find that it matches choice (A) 19−9.19^{-9}.

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