Question

In the following exercises, simplify each expression.

$7+3\left[6-4\left(5-4\right)\right]-3^2$

Short answer

The simplified value of the given expression is$4.$

Step-by-step solution

Step 1. Given information

The given expression is$7+3\left[6-4\left(5-4\right)\right]-3^2$

Step 2. Concept used

The order of operations is based on the PEMDAS rule.

• Parenthesis
• exponent
• Multiplication
• Divison
• Addition
• Subtraction

Step 3. Simplify

$$\begin{gathered} 7+3\left[6-4\left(5-4\right)\right]-3^2=7+3\left[6-4\left(1\right)\right]-3^2\text{Simplifyparenthesis} \\ =7+3\left[6-4\right]-3^2\text{multiplication} \\ =7+3\left[2\right]-3^2\text{subtraction} \\ =7+3\left[2\right]-9\text{exponent} \\ =7+6-9\text{multiplication} \\ =13-9\text{addition} \\ =4\text{subtraction} \end{gathered}$$