What is the value of the expression start fraction, left bracket, 9, squared, minus, 17, right bracket, divided by, 2, squared, end fraction
(
9
2
−
17
)
2
2
2
2
(9
2
−17)
?
To evaluate the expression, we can simplify each squared term first.
9 squared is equal to 81.
2 squared is equal to 4.
Thus, the expression becomes:
(81 - 17) ÷ 4
Next, we can subtract the numbers in the brackets:
81 - 17 = 64
Finally, we can divide the result by 4:
64 ÷ 4 = 16
Therefore, the value of the expression is 16.
To evaluate the expression
(9^2 - 17) / 2^2
Step 1: Evaluate the exponent 9^2.
9^2 = 9 * 9 = 81
Step 2: Subtract 17 from the result of step 1.
81 - 17 = 64
Step 3: Evaluate the exponent 2^2.
2^2 = 2 * 2 = 4
Step 4: Divide the result of step 2 by the result of step 3.
64 / 4 = 16
So, the value of the expression (9^2 - 17) / 2^2 is 16.