Question

Evaluate the expression.

$4(20-3^2)$

Short answer

The value of the expression is44.

Step-by-step solution

Step 1  . Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2  . Evaluate the expressions in grouping symbols

To evaluate the given expression, first solve the expression inside the parenthesis by expanding the exponent and then subtract the resulting numbers as shown below

$\begin{array}{c}4(20-3^2)\\ =4(20-9)\\ =4\left(11\right)\end{array}$

Step 3  . Multiply the numbers

Now to simplify further, multiply the numbers to get

$\begin{array}{l}4\left(11\right)\\ =44\end{array}$

Thus, the value of the expression is 44.