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Question

Compute using the rules for the order of operations. If an expression is undefined, state this.

8÷46425294+1142\dfrac{8 \div 4 \cdot 6\left|4^2-5^2\right|}{9-4+11-4^2}

Solution

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Using order of operations, then,

8÷46425294+11428÷46162594+1116=8÷46(9)94+1116=26(9)5+1116=12(9)1616=1080=undefined.\begin{align*} \dfrac{8\div4\cdot6|4^2-5^2|}{9-4+11-4^2} &\Rightarrow \dfrac{8\div4\cdot6|16-25|}{9-4+11-16} \\\\&= \dfrac{8\div4\cdot6(9)}{9-4+11-16} \\\\&= \dfrac{2\cdot6(9)}{5+11-16} \\\\&= \dfrac{12(9)}{16-16} \\\\&= \dfrac{108}{0} \\\\&= \text{undefined} .\end{align*}

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