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Find the quotient. Write your answer using exponents \( \frac{9^{11}}{9} \)

Ask by O'Quinn Rose. in the United States
Mar 10,2025

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Answer

The quotient is \( 9^{10} \) or approximately \( 3.486784 \times 10^{9} \).

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The Deep Dive

To find the quotient \( \frac{9^{11}}{9} \), you can use the properties of exponents. Recall that dividing two exponents with the same base means you subtract the exponents. So, you can rewrite \( 9 \) as \( 9^1 \). This gives us: \[ \frac{9^{11}}{9^1} = 9^{11-1} = 9^{10} \] So, the answer is \( 9^{10} \). When working with exponents, it's like a powerful tool that simplifies many expressions! Remember that for any base \( a \), \[ \frac{a^m}{a^n} = a^{m-n}. \] It’s a fun little shortcut that makes math way easier!

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