Q21. - Algebra 2

Question

Find the value of each expression

21. $-2\left(3^2+8\right)$

Step-by-Step Solution

Answer

Value of $-2\left(3^2+8\right)$ is  $-34$

Step 1 - Order for simplification

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 - Simplify expression inside grouping symbol

To evaluate the value of the given expression, first simplify the expression inside the parenthesis by expanding the exponent and adding 8 with it as shown below

$\begin{array}{c}-2\left(3^2+8\right)=-2\left(9+8\right)\\ =-2\left(17\right)\end{array}$

Step 3 - Multiply with 17

Now, to simplify further divide the numbers to get 

 $-2\left(17\right)=-34$