Subjects algebra

Negative Exponent D9A2A6

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Question: Write the following expression without negative exponents and without parentheses. $-8x^{-2}$
1. **State the problem:** We need to rewrite the expression $$-8x^{-2}$$ without negative exponents and without parentheses. 2. **Recall the rule for negative exponents:** For any nonzero number $a$ and integer $n$, $$a^{-n} = \frac{1}{a^n}$$. 3. **Apply the rule to the expression:** $$-8x^{-2} = -8 \times \frac{1}{x^2}$$ 4. **Rewrite the expression without parentheses:** $$-8 \times \frac{1}{x^2} = -\frac{8}{x^2}$$ 5. **Final answer:** $$-\frac{8}{x^2}$$ This expression has no negative exponents and no parentheses.