Question

Evaluate the expression.

$17-(3^2-2)$

Short answer

The value of expression is10.

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 – Simplify expression in grouping symbol

The expression is provided as $17-(3^2-2)$

To evaluate the expression, first simplify the expression in parenthesis by expanding the exponent and then subtract 2 from the resulting number as shown

$\begin{array}{c}17-(3^2-2)=17-(9-2)\\ =17-\left(7\right)\end{array}$

Step-3 – Subtract the numbers

To simplify further, subtract the resulting numbers to get

$\begin{array}{c}17-(3^2-2)=17-\left(7\right)\\ =17-7\\ =10\end{array}$

So, the value of the expression is 10.