Subjects algebra

Simplify Exponent 50Aaf6

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Question: Simplify $10^0r^{-11}s \over 3^2$. Write your answer using only positive exponents.
1. **State the problem:** Simplify the expression $$\frac{10^0 r^{-11} s}{3^2}$$ and write the answer using only positive exponents. 2. **Recall important rules:** - Any number raised to the zero power is 1, so $$10^0 = 1$$. - Negative exponents mean the reciprocal, so $$r^{-11} = \frac{1}{r^{11}}$$. - Powers in the denominator remain as is. 3. **Rewrite the expression using these rules:** $$\frac{1 \cdot r^{-11} \cdot s}{3^2} = \frac{s}{3^2 r^{11}}$$ 4. **Calculate $3^2$:** $$3^2 = 9$$ 5. **Final simplified expression with positive exponents:** $$\frac{s}{9 r^{11}}$$ **Answer:** $$\frac{s}{9 r^{11}}$$