Math  /  Numbers & Operations

Question1613216-\left|1-3^{2}\right|
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 16132=16-\left|1-3^{2}\right|= \square (Simplify your answer.) B. The answer is undefined.

Studdy Solution

STEP 1

1. The expression 1613216 - \left|1 - 3^2\right| involves basic arithmetic operations including absolute value.
2. The absolute value function returns the non-negative value of its argument.
3. The final expression should be a simplified numerical value.

STEP 2

1. Evaluate the exponentiation inside the absolute value.
2. Perform the subtraction inside the absolute value.
3. Calculate the absolute value of the result.
4. Subtract the absolute value from 16.

STEP 3

Evaluate the exponentiation inside the absolute value:
32=9 3^2 = 9

STEP 4

Perform the subtraction inside the absolute value:
19=8 1 - 9 = -8

STEP 5

Calculate the absolute value of 8-8:
8=8 \left| -8 \right| = 8

STEP 6

Subtract the absolute value from 16:
168=8 16 - 8 = 8
Solution: 1619=8 16 - \left|1 - 9\right| = 8

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