Question
Divide. Assume that no denominator equals zero. \( \begin{array}{ll}\frac{8 n^{13} p^{6}}{4 n^{3} p^{2}} & \text { c. } 2 n^{39} p^{18} \\ \text { a. } 2 n^{16} p^{8} & \text { d. } 2 n^{10} p^{4}\end{array} \)
Ask by Mann Riley. in the United States
Mar 13,2025
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Answer
The simplified expression is \( 2n^{10}p^{4} \).
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To divide the expression \( \frac{8 n^{13} p^{6}}{4 n^{3} p^{2}} \), you can simplify it by dividing both the coefficients and the variables separately: 1. **Coefficients**: \( \frac{8}{4} = 2 \) 2. **For \( n \)**: \( n^{13} \div n^{3} = n^{13-3} = n^{10} \) 3. **For \( p \)**: \( p^{6} \div p^{2} = p^{6-2} = p^{4} \) Putting it all together, you get: \[ 2 n^{10} p^{4} \] So, the final answer is \( 2 n^{10} p^{4} \), which corresponds to option **d**.