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Write the expression as a fraction with a positive exponent.\newline1q3\frac{1}{q^3}

Full solution

Q. Write the expression as a fraction with a positive exponent.\newline1q3\frac{1}{q^3}
  1. Understand the problem: Understand the problem.\newlineWe need to convert the expression with a negative exponent into a fraction with a positive exponent.
  2. Apply negative exponent rule: Apply the negative exponent rule. The negative exponent rule states that an=1ana^{-n} = \frac{1}{a^n} for any nonzero number aa and any integer nn. We will apply this rule to q3q^{-3}.
  3. Convert the expression: Convert the expression.\newlineUsing the rule from Step 22, we can write q3q^{-3} as 1/(q3)1/(q^3).
  4. Check the result: Check the result.\newlineThe expression 1q3\frac{1}{q^3} has a positive exponent, as required by the problem. There are no math errors in the conversion process.

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