Subjects algebra

Simplify Negative Exponent Facd76

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Question: Simplify $x^{-7}$. Write your answer using only positive exponents.
1. **State the problem:** Simplify the expression $x^{-7}$ so that it contains only positive exponents. 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:** $$x^{-7} = \frac{1}{x^7}$$ 4. **Final answer:** The expression with only positive exponents is: $$\boxed{\frac{1}{x^7}}$$ This means that a negative exponent indicates the reciprocal of the base raised to the positive exponent.