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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline172\frac{1}{7^2}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline172\frac{1}{7^2}
  1. Identify base and exponent: Identify the base and the exponent in the given expression 172\frac{1}{7^2}. The base is 77, and the exponent is 22. The expression is the reciprocal of 77 raised to the power of 22.
  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}. To write 172\frac{1}{7^2} with a negative exponent, we can apply this rule in reverse.
  3. Write with negative exponent: Write the expression with a negative exponent.\newlineUsing the rule from Step 22, we can write 1/721/7^2 as 7−27^{-2}.

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