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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline153\frac{1}{5^3}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline153\frac{1}{5^3}
  1. Identify Base and Exponent: Identify the base and the exponent in the given expression 153\frac{1}{5^3}. The base is 55, and the exponent is 33. The expression is the reciprocal of 55 raised to the power of 33.
  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}. Therefore, to write 153\frac{1}{5^3} 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 153\frac{1}{5^3} as 5−35^{-3}.

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