Math Problem Statement

Simplify the expression 3x^(-2).

Solution

The expression in the image is:

3x23x^{-2}

This expression contains the variable xx raised to the power of -2 and is multiplied by 3. The negative exponent indicates an inverse, so this can be rewritten as:

3x2=3x23x^{-2} = \frac{3}{x^2}

Would you like a detailed explanation of how exponents work, or is there anything specific you'd like to know about this expression?

Here are 5 related questions that expand on this topic:

  1. How do you simplify expressions with negative exponents in general?
  2. What is the process for differentiating or integrating expressions with negative exponents?
  3. How do you solve equations that include terms with negative exponents?
  4. Can negative exponents appear in polynomials, and how do they affect the degree of the polynomial?
  5. How can negative exponents be used to express scientific notation or very small numbers?

Tip: A negative exponent flips the base into the denominator. For example, an=1ana^{-n} = \frac{1}{a^n}.

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Math Problem Analysis

Mathematical Concepts

Algebra
Negative Exponents
Simplification

Formulas

a^(-n) = 1/(a^n)

Theorems

Properties of Exponents

Suitable Grade Level

Grades 8-10