Question

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

(23)35247252\dfrac{(2-3)^3-5|2-4|}{7-2 \cdot 5^2}

Solution

Verified
Step 1
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Using order of operations, then,

(23)35247252(1)3527225=15(2)750=11043=1143=1143.\begin{align*} \dfrac{(2-3)^3-5|2-4|}{7-2\cdot5^2} &\Rightarrow \dfrac{(-1)^3-5|-2|}{7-2\cdot25} \\\\&= \dfrac{-1-5(2)}{7-50} \\\\&= \dfrac{-1-10}{-43} \\\\&= \dfrac{-11}{-43} \\\\&= \dfrac{11}{43} .\end{align*}

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