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Write the expression as a fraction with a positive exponent. \newline1r8\frac{1}{r^{8}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. \newline1r8\frac{1}{r^{8}}
  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.\newlineThe rule for negative exponents states that a−n=1ana^{-n} = \frac{1}{a^n} for any nonzero number aa and positive integer nn. We will apply this rule to r−8r^{-8}.
  3. Rewrite as a fraction: Rewrite the expression as a fraction.\newlineUsing the rule from Step 22, we can write r−8r^{-8} as 1r8\frac{1}{r^{8}}.
  4. Check the result: Check the result.\newlineThe expression 1/r81/r^8 has a positive exponent, as required, and is in fraction form. There are no math errors in the steps taken.

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