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Write the expression as a fraction with a positive exponent. \newline1x4\frac{1}{x^4}

Full solution

Q. Write the expression as a fraction with a positive exponent. \newline1x4\frac{1}{x^4}
  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 positive integer nn. We will apply this rule to x4x^{-4}.
  3. Rewrite as fraction: Rewrite the expression as a fraction.\newlineUsing the rule from Step 22, we can write x4x^{-4} as 1x4\frac{1}{x^4}.
  4. Check the result: Check the result.\newlineThe expression 1x4\frac{1}{x^4} has a positive exponent, as required. The base xx is the same, and the exponent is now positive in the denominator of the fraction.