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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1833\frac{1}{83^3}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1833\frac{1}{83^3}
  1. Understand Expression: Understand the given expression 1833\frac{1}{83^3}. The expression is a fraction where the numerator is 11 and the denominator is 8383 raised to the power of 33.
  2. Apply Negative Exponent Rule: Apply the negative exponent rule to the expression.\newlineThe negative exponent rule states that a−m=1/ama^{-m} = 1/a^m. To write the expression with a negative exponent, we can apply this rule in reverse, which means we can write 1/am1/a^m as a−ma^{-m}.
  3. Write with Negative Exponent: Write the expression with a negative exponent.\newlineUsing the rule from Step 22, we can write 1833\frac{1}{83^3} as 83−383^{-3}.

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