36 : (-4) · (−11) − 2 [-(-3-7) (-8)-2 (+ 5) (− 2)³] − 21 - (− 3)

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I need help answering question #514. I am not able to obtain the answer written in brackets in the right hand corner.

Please note that this is not graded work. I obtained this question from an old text book to help me practice problem sets. Do let me know if you have additional questions.

### Mathematical Exercises

#### Problem 512
Evaluate the expression:
\[ 3 \cdot \{2^2 + 7 : [2 \cdot (9 - 1) + 15 : 3 - 5^2 - 18 : (5 \cdot 2 - 4)]\} + 2 \cdot [((-8) : 4 + 5)] \]

**Solution:**
- The result is \(-3\).

#### Problem 513
Evaluate the expression:
\[ [-24 + 3 \cdot (-4)] : [+ 6 + (-14) : (-5 - 2) - 2] - [-3 - 7 + 5 \cdot (-2)] : (-2)^2 \]

**Solution:**
- The result is \(-1\).

#### Problem 514
Evaluate the expression:
\[ 36 : (-4) \cdot (-11) - 2 \cdot [-(-3 - 7) \cdot (-8) - 2 \cdot (+5)(-2)^3] - 21 \cdot (-3) \]

**Solution:**
- The result is \(-36\).
Transcribed Image Text:### Mathematical Exercises #### Problem 512 Evaluate the expression: \[ 3 \cdot \{2^2 + 7 : [2 \cdot (9 - 1) + 15 : 3 - 5^2 - 18 : (5 \cdot 2 - 4)]\} + 2 \cdot [((-8) : 4 + 5)] \] **Solution:** - The result is \(-3\). #### Problem 513 Evaluate the expression: \[ [-24 + 3 \cdot (-4)] : [+ 6 + (-14) : (-5 - 2) - 2] - [-3 - 7 + 5 \cdot (-2)] : (-2)^2 \] **Solution:** - The result is \(-1\). #### Problem 514 Evaluate the expression: \[ 36 : (-4) \cdot (-11) - 2 \cdot [-(-3 - 7) \cdot (-8) - 2 \cdot (+5)(-2)^3] - 21 \cdot (-3) \] **Solution:** - The result is \(-36\).
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