Q20. - Algebra 2

Question

Find the value of each expression

$2\left(6^2-9\right)$

Step-by-Step Solution

Answer

Value of $2\left(6^2-9\right)$ is 54

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 expand the exponent and subtract 9 from it as shown below

$\begin{array}{c}2\left(6^2-9\right)=2\left(36-9\right)\\ =2\left(27\right)\end{array}$

Step 3 - Multiply 2 with 27

Now, to simplify further multiply the numbers to get

 $2\left(27\right)=54$