Problem 37 - Introductory and Intermediate Algebra for College Students 4th

Question

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

Step-by-Step Solution

Answer

The simplified result of the given expression is 45.

Step 1: Deal with the Powers (Indices)

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

Step 2: 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.

Step 3: 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.