-3-(22+7:[2 (9-1) + 15:3-52-18: (5-2-4)]}+2 [(-8):4+5]

Algebra and Trigonometry (6th Edition)
6th Edition
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 #512 since 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 Problems and Solutions**

**Problem 512:**
Calculate the expression:
\[ 
-3 \cdot \{2 + 7: [2 \cdot (9 - 1) + 15: 3 - 5^2 - 18: (5: 2 - 4)]\} + 2 \cdot [(-8): 4 + 5] 
\]
**Solution:**
The result is \(-3\).

**Problem 513:**
Calculate 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:**
Calculate the expression:
\[ 
36: (-4) \cdot (-11) - 2 \cdot [-(-3 - 7) \cdot (-8) - 2 \cdot (+5)(-2)^3] - 21 \cdot (-3) 
\]
**Solution:**
The result is \(-36\).

These problems explore the application of order of operations, brackets, and exponents in complex algebraic expressions. Each solution demonstrates how to correctly simplify and solve the equations step-by-step.
Transcribed Image Text:**Mathematical Problems and Solutions** **Problem 512:** Calculate the expression: \[ -3 \cdot \{2 + 7: [2 \cdot (9 - 1) + 15: 3 - 5^2 - 18: (5: 2 - 4)]\} + 2 \cdot [(-8): 4 + 5] \] **Solution:** The result is \(-3\). **Problem 513:** Calculate 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:** Calculate the expression: \[ 36: (-4) \cdot (-11) - 2 \cdot [-(-3 - 7) \cdot (-8) - 2 \cdot (+5)(-2)^3] - 21 \cdot (-3) \] **Solution:** The result is \(-36\). These problems explore the application of order of operations, brackets, and exponents in complex algebraic expressions. Each solution demonstrates how to correctly simplify and solve the equations step-by-step.
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