A= -2{4-4[3-3(2-6)]-8}-(7-9)

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Introduction

The given mathematical expression is a complex equation that involves multiple operations, including parentheses, exponents, and subtraction. In this article, we will break down the expression step by step and simplify it to find the final value of A.

Understanding the Expression

The given expression is A= -2{4-4[3-3(2-6)]-8}-(7-9). To simplify this expression, we need to follow the order of operations (PEMDAS):

  1. Evaluate the expressions inside the innermost parentheses.
  2. Evaluate the expressions inside the outer parentheses.
  3. Evaluate any exponential expressions.
  4. Evaluate any multiplication and division operations from left to right.
  5. Finally, evaluate any addition and subtraction operations from left to right.

Step 1: Evaluate the Expressions Inside the Innermost Parentheses

The innermost parentheses are (2-6). To evaluate this expression, we subtract 6 from 2, which gives us -4.

Step 2: Evaluate the Expression Inside the Outer Parentheses

The outer parentheses are (3-3(2-6)). We already know that (2-6) = -4. Now, we multiply 3 by -4, which gives us -12. Then, we subtract -12 from 3, which gives us 3.

Step 3: Evaluate the Expression Inside the Square Brackets

The expression inside the square brackets is [3-3(2-6)]. We already know that (2-6) = -4. Now, we multiply 3 by -4, which gives us -12. Then, we subtract -12 from 3, which gives us 3.

Step 4: Evaluate the Expression Inside the Curly Brackets

The expression inside the curly brackets is {4-4[3-3(2-6)]-8}. We already know that [3-3(2-6)] = 3. Now, we multiply 4 by 3, which gives us 12. Then, we subtract 12 from 4, which gives us -8. Finally, we subtract 8 from -8, which gives us -16.

Step 5: Evaluate the Final Expression

The final expression is A= -2{4-4[3-3(2-6)]-8}-(7-9). We already know that {4-4[3-3(2-6)]-8} = -16. Now, we subtract 7 from 9, which gives us 2. Finally, we multiply -2 by -16, which gives us 32. Then, we subtract 2 from 32, which gives us 30.

Conclusion

In this article, we simplified the complex mathematical expression A= -2{4-4[3-3(2-6)]-8}-(7-9) step by step. We followed the order of operations (PEMDAS) and evaluated the expressions inside the parentheses, square brackets, and curly brackets. Finally, we arrived at the final value of A, which is 30.

Final Answer

The final answer is: 30

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Introduction

In our previous article, we simplified the complex mathematical expression A= -2{4-4[3-3(2-6)]-8}-(7-9) step by step. In this article, we will answer some frequently asked questions related to this expression.

Q: What is the order of operations (PEMDAS)?

A: The order of operations (PEMDAS) is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The acronym PEMDAS stands for:

  1. Parentheses: Evaluate expressions inside parentheses first.
  2. Exponents: Evaluate any exponential expressions next.
  3. Multiplication and Division: Evaluate any multiplication and division operations from left to right.
  4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: Why is it important to follow the order of operations?

A: Following the order of operations is crucial to avoid errors and ensure that we get the correct answer. If we don't follow the order of operations, we may get a different answer or even an incorrect one.

Q: What is the difference between parentheses and square brackets?

A: In mathematical expressions, parentheses and square brackets are used to group numbers and operations together. Parentheses are used to group expressions that need to be evaluated first, while square brackets are used to group expressions that need to be evaluated next.

Q: Can you explain the concept of exponents?

A: Exponents are a shorthand way of writing repeated multiplication. For example, 2^3 means 2 multiplied by itself 3 times, which is equal to 8.

Q: How do we evaluate expressions with multiple operations?

A: To evaluate expressions with multiple operations, we need to follow the order of operations (PEMDAS). We start by evaluating expressions inside parentheses, then exponents, then multiplication and division, and finally addition and subtraction.

Q: What is the final value of A in the expression A= -2{4-4[3-3(2-6)]-8}-(7-9)?

A: The final value of A is 30.

Q: Can you provide a step-by-step solution to the expression A= -2{4-4[3-3(2-6)]-8}-(7-9)?

A: Here is a step-by-step solution to the expression:

  1. Evaluate the expressions inside the innermost parentheses: (2-6) = -4
  2. Evaluate the expression inside the outer parentheses: (3-3(2-6)) = 3
  3. Evaluate the expression inside the square brackets: [3-3(2-6)] = 3
  4. Evaluate the expression inside the curly brackets: {4-4[3-3(2-6)]-8} = -16
  5. Evaluate the final expression: A= -2{4-4[3-3(2-6)]-8}-(7-9) = 30

Conclusion

In this article, we answered some frequently asked questions related to the complex mathematical expression A= -2{4-4[3-(2-6)]-8}-(7-9). We explained the concept of the order of operations (PEMDAS), the difference between parentheses and square brackets, and how to evaluate expressions with multiple operations.

Final Answer

The final answer is: 30