Math Problem Statement

(-7)-3^{2}

Solution

Let's solve the expression step by step:

The given expression is: (7)32(-7) - 3^2

  1. First, calculate the exponent:
    32=93^2 = 9

  2. Now substitute this value back into the expression: (7)9(-7) - 9

  3. Finally, perform the subtraction: 79=16-7 - 9 = -16

So, the result of (7)32(-7) - 3^2 is: 16\boxed{-16}

Do you need further clarification on any steps or would you like to explore other related topics?


Here are 5 related questions you might find useful:

  1. How do you simplify expressions involving both exponents and negative numbers?
  2. What is the order of operations (PEMDAS)?
  3. How do you evaluate expressions like (4)2(-4)^2 versus 42-4^2?
  4. What happens when you subtract a negative number from another negative number?
  5. How can you solve more complex equations with exponents and negative numbers?

Tip: Always remember the order of operations: Parentheses, Exponents, Multiplication/Division (from left to right), Addition/Subtraction (from left to right).

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Math Problem Analysis

Mathematical Concepts

Exponents
Order of Operations
Integer Subtraction

Formulas

Exponentiation
Order of Operations (PEMDAS)

Theorems

PEMDAS Theorem

Suitable Grade Level

Grades 6-8