Math Problem Statement

[(-4) + (8 + 4)] · (-5^3 - 7)

Solution

Let's solve the given expression from the image step by step. The expression appears to be:

[(4)+(8+4)](537)[(-4) + (8 + 4)] \cdot (-5^3 - 7)

Step 1: Simplify the terms inside the brackets

First bracket:

(4)+(8+4)(-4) + (8 + 4) 8+4=128 + 4 = 12 (4)+12=8(-4) + 12 = 8 So, the first bracket simplifies to 88.

Second bracket:

537-5^3 - 7 First, calculate 535^3: 53=1255^3 = 125 Now substitute: 53=125-5^3 = -125 1257=132-125 - 7 = -132 So, the second bracket simplifies to 132-132.

Step 2: Multiply the results of the brackets

8(132)8 \cdot (-132) 8(132)=10568 \cdot (-132) = -1056

Final Answer:

1056\boxed{-1056}

Would you like additional explanation or further examples?


Here are 5 related questions for practice:

  1. Simplify [(3)+(5+2)](42+6)[(-3) + (5 + 2)] \cdot (-4^2 + 6).
  2. Evaluate [6(83)](235)[6 - (8 - 3)] \cdot (2^3 - 5).
  3. Solve [(10)+(12+5)](324)[(-10) + (12 + 5)] \cdot (-3^2 - 4).
  4. Simplify [(2)+(71)](42+1)[(-2) + (7 - 1)] \cdot (4^2 + 1).
  5. Find the value of [(6)+(10+4)](238)[(-6) + (10 + 4)] \cdot (-2^3 - 8).

Tip: Always follow the order of operations (PEMDAS/BODMAS) to simplify complex expressions.

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Math Problem Analysis

Mathematical Concepts

Order of Operations (PEMDAS/BODMAS)
Arithmetic Operations
Exponents

Formulas

Exponentiation: a^n = a × a × ... × a (n times)
Order of Operations: Parentheses > Exponents > Multiplication/Division > Addition/Subtraction

Theorems

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Suitable Grade Level

Grades 6-8