Question

Evaluate each expression. (Lesson 1 - 2)

$4^2\cdot 3-5(6+3)$

Short answer

The value of this expression is 3.

Step-by-step solution

Step 1. Use the order of operations.

The order of operations is the sequence of steps with which we solve any given algebraic expression, order is as follows:

Step 1: Evaluate the expressions inside grouping symbols.

Step 2: Evaluate all powers.

Step 3: Multiply and/or divide in order from left to right.

Step 4: Add and/or subtract in order from left to right.

Step 2. Solve the expression.

We are given that the expression$4^2\cdot 3-5\left(6+3\right)$

First, we open the brackets and then solve the indexes as shown:

$\begin{array}{l}{4}^2\cdot 3-5\left(6+3\right)\\ =16\cdot 3-5\cdot 9\end{array}$

Step 3. Simplify the expression.

Next, we perform multiplication:

$\begin{array}{l}16\cdot 3-5\cdot 9\\ =48-45\end{array}$

Lastly, we perform subtraction

$\begin{array}{l}48-45\\ =3\end{array}$

Thus, the answer is 13.