Math Problem Statement

Simplify the expression x^2 · x^2.

Solution

The expression in the image is x2x2x^2 \cdot x^2.

To simplify this expression, you can use the rule for multiplying exponents with the same base:

xaxb=xa+bx^a \cdot x^b = x^{a+b}

Here, both exponents are 2, so:

x2x2=x2+2=x4x^2 \cdot x^2 = x^{2+2} = x^4

Thus, the simplified expression is x4x^4.

Would you like more details on this process or have any other questions?

Here are some related questions you might consider:

  1. How do you simplify x3x2x^3 \cdot x^2?
  2. What happens when you multiply two expressions like xaybx^a \cdot y^b with different bases?
  3. How would you simplify (x2)3(x^2)^3?
  4. What is the result of dividing x6x^6 by x2x^2?
  5. How do you expand (x2+y2)(x2y2)(x^2 + y^2) \cdot (x^2 - y^2)?

Tip: When multiplying expressions with the same base, simply add the exponents to simplify the expression.

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponentiation
Simplifying Expressions

Formulas

x^a · x^b = x^(a+b)

Theorems

Laws of Exponents

Suitable Grade Level

Grades 6-8