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Write the following expression without negative exponents and without parentheses. -9x^(-2) Answer:

Write the following expression without negative exponents and without parentheses.\newline−9x−2 -9 x^{-2} \newlineAnswer:

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Full solution

Q. Write the following expression without negative exponents and without parentheses.\newline−9x−2 -9 x^{-2} \newlineAnswer:
  1. Understand Negative Exponents: Understand the property of negative exponents. The negative exponent rule states that a−n=1ana^{-n} = \frac{1}{a^n} for any non-zero aa and positive integer nn. This means we need to take the reciprocal of the base when the exponent is negative.
  2. Apply Negative Exponent Rule: Apply the negative exponent rule to the given expression.\newlineUsing the rule from Step 11, we can rewrite −9x−2-9x^{-2} as −9×(1/x2)-9 \times (1/x^2).
  3. Simplify Expression: Simplify the expression.\newlineSince there are no parentheses to remove and we have already addressed the negative exponent, the expression simplifies to −9x2.-\frac{9}{x^2}.

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