Math Problem Statement

Implict function

Implicit function involving the expression (2 + 2)^2

Solution

The image contains the following mathematical expression:

(2+2)2=16(2 + 2)^{2} = 16

Let's break this down step by step:

  1. Inside the parentheses, we first calculate 2+22 + 2, which equals 4.
  2. Then we take 424^2, which equals 16.

Thus, the expression evaluates to 16.

Would you like more details on this, or do you have any questions? Here are some related questions for further exploration:

  1. What is the difference between evaluating an expression and simplifying it?
  2. How does the order of operations apply when parentheses are involved?
  3. How can exponents be simplified using properties like the power of a sum?
  4. Can this expression be solved using a distributive property? Why or why not?
  5. What are other common functions that involve exponents?

Tip: Always remember to perform operations inside parentheses first before applying exponents, following the order of operations.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Exponents
Order of Operations

Formulas

(a + b)^n
Order of operations: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)

Theorems

Exponential rule: (a + b)^2 = a^2 + 2ab + b^2

Suitable Grade Level

Grades 5-7