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Write the expression as a fraction with a positive exponent. \newline1u−2\frac{1}{u^{-2}}

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Full solution

Q. Write the expression as a fraction with a positive exponent. \newline1u−2\frac{1}{u^{-2}}
  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 negative exponent rule states that a−n=1ana^{-n} = \frac{1}{a^n}. We will apply this rule to u−2u^{-2}.
  3. Convert the expression: Convert the expression.\newlineUsing the rule from Step 22, we can write u−2u^{-2} as 1/(u2)1/(u^2).
  4. Check the result: Check the result.\newlineThe expression 1u2\frac{1}{u^2} has a positive exponent, as required. There are no mathematical errors in the conversion process.

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