Math Problem Statement

(4^2 - 2^2 × 3)^2 - 7

Solution

Let's go through the steps in the math problem written in the image:

The expression appears to be:

(4222×3)27(4^2 - 2^2 \times 3)^2 - 7

Step-by-Step Solution:

  1. Start with the inside of the parentheses: 42=16and22=44^2 = 16 \quad \text{and} \quad 2^2 = 4 So the expression becomes: (164×3)27(16 - 4 \times 3)^2 - 7

  2. Perform the multiplication: 4×3=124 \times 3 = 12 Now the expression is: (1612)27(16 - 12)^2 - 7

  3. Subtract within the parentheses: 1612=416 - 12 = 4 Now the expression is: (4)27(4)^2 - 7

  4. Square the result: 42=164^2 = 16 So now the expression is: 16716 - 7

  5. Finally, subtract: 167=916 - 7 = 9

Thus, the final result is 9.

Would you like further clarification on any step?

Here are some related questions to explore further:

  1. What is the order of operations, and why is it important in solving expressions?
  2. How would the answer change if the numbers inside the parentheses were different?
  3. What happens if we change the exponent on the outer parentheses?
  4. How does squaring affect negative numbers or different variables?
  5. Can you solve similar expressions with fractional or decimal numbers?

Tip: Always remember to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) when solving math expressions to get the correct result.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Exponents
Multiplication
Subtraction

Formulas

a^2
Multiplication of terms

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grade 6-8