/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 114 Use the order of operations to s... [FREE SOLUTION] | 91Ó°ÊÓ

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Use the order of operations to simplify each expression. $$\frac{10 \div 2+3 \cdot 4}{(12-3 \cdot 2)^{2}}$$

Short Answer

Expert verified
The simplified expression is \( \frac{17}{36} \)

Step by step solution

01

Handle the Numerator

The numerator consists of division and multiplication operations. Following the order of operations, it simplifies to \(5+12=17.\)
02

Handle the Parentheses and Exponents in the Denominator

The denominator requires simplifying an expression in parentheses and applying the exponent. The expression in the parentheses simplifies to \(12-6=6\). Then, squaring gives \(6^2=36.\)
03

Divide the Numerator by the Denominator

Finally, divide the numerator \(17\) by the denominator \(36\) to obtain the simplified expression, \( \frac{17}{36} \).

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