Problem 111 - College Algebra Essentials

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 version of the expression is 45

Step 1: Evaluate Exponents

Start by evaluating the exponent: \(8^{2} = 64\). So, the expression becomes \(64 -16 \div 2^{2} \cdot 4-3\)

Step 2: Evaluate the division

Now, let us evaluate the division operation: \(16 \div 2^{2} = 16 \div 4 =4\). The expression now reads: \(64 - 4 \cdot 4 - 3\)

Step 3: Evaluate the multiplication

Then, perform the multiplication operation: \(4 \cdot 4 = 16\). Now the expression simplifies to \(64 - 16 - 3\)

Step 4: Evaluate subtraction

Finally, perform the subtraction operations from left to right: \(64 - 16 = 48\) and then \(48 - 3 = 45\).