Subjects algebra

Negative Exponents 11A14A

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1. The problem is to rewrite the expression $$-10x^{-2}$$ without negative exponents and without parentheses. 2. Recall the rule for negative exponents: $$a^{-n} = \frac{1}{a^n}$$ where $$a \neq 0$$ and $$n > 0$$. 3. Applying this rule to $$x^{-2}$$, we get: $$x^{-2} = \frac{1}{x^2}$$ 4. Substitute this back into the original expression: $$-10x^{-2} = -10 \times \frac{1}{x^2}$$ 5. Simplify the expression by multiplying: $$-10 \times \frac{1}{x^2} = \frac{-10}{x^2}$$ 6. The expression without negative exponents and without parentheses is: $$\boxed{\frac{-10}{x^2}}$$