Evaluate
17 – (6 – 2)2
To evaluate the given expression, we first need to simplify the expression within the innermost parentheses:
(6 - 2) = 4
Now, we substitute this value back into the original expression:
17 - (4)2
Next, we simplify the expression within the remaining parentheses:
(4)2 = 8
Finally, we substitute this value back into the expression:
17 - 8 = 9
Therefore, 17 – (6 – 2)2 = 9.
To evaluate the expression 17 - (6 - 2)2, we need to follow the correct order of operations, which is known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Step 1: Evaluate the expression within the parentheses.
Inside the parentheses, we have 6 - 2. Subtracting 2 from 6 gives us 4.
The expression now becomes: 17 - 4²
Step 2: Evaluate the exponent.
4² means 4 squared, which is 4 multiplied by itself.
4² = 4 * 4 = 16
The expression now becomes: 17 - 16
Step 3: Perform subtraction.
Subtracting 16 from 17:
17 - 16 = 1
Therefore, the value of the expression is 1.