/*! 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 37 Use the order of operations to s... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Use the order of operations to simplify each expression. $$8^{2}-16 \div 2^{2} \cdot 4-3$$

Short Answer

Expert verified
The simplified result of the given expression is 45.

Step by step solution

01

Deal with the Powers (Indices)

First, calculate the value of \(8^{2}\) to yield 64 as the result.
02

Division and Multiplication (from left to right)

Next, perform the division in the expression, \(16 \div 2^{2}\), which simplifies to \(16 \div 4 = 4\). Then, multiply this result by 4 to get 16.
03

Subtraction

Finally, subtract the resultant values from each step, i.e., subtract 16 and 3 from 64. This yields \(64 - 16 - 3 = 45\) as the final result.

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