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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline143\frac{1}{4^3}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline143\frac{1}{4^3}
  1. Identify base and exponent: Identify the base and the exponent in the given expression 143\frac{1}{4^3}. The base is 44, and the exponent is 33. The expression is in the form of a fraction where 434^3 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 143\frac{1}{4^3} as a whole number with a negative exponent, we can apply this rule in reverse, which gives us 4−34^{-3}.
  3. Check final expression: Check the final expression to ensure it matches the required format.\newlineThe final expression 4−34^{-3} is a whole number with a negative exponent, which is what was asked for in the question prompt.

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