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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1668\frac{1}{66^8}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1668\frac{1}{66^8}
  1. Identify Base and Exponent: Identify the base and the exponent in the given expression 1668\frac{1}{66^8}. The base is 6666 and the exponent is 88. The expression is in the form of a fraction where 66866^8 is in the denominator.
  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 1668\frac{1}{66^8} as a whole number 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 1/6681/66^8 as 66−8.66^{-8}.

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