Math Problem Statement

y / y^2

Solution

The expression yy2\frac{y}{y^2} can be simplified as follows:

yy2=1y\frac{y}{y^2} = \frac{1}{y}

This is because the yy in the numerator and one of the yy's in the denominator cancel out, leaving 1y\frac{1}{y}.

Do you want more details or have any questions?

Here are 5 related questions to expand on this topic:

  1. How do you simplify x2x5\frac{x^2}{x^5}?
  2. What is the simplified form of y3y6\frac{y^3}{y^6}?
  3. How do you simplify a2b3a3b2\frac{a^2 b^3}{a^3 b^2}?
  4. How would you solve 2x4x3\frac{2x}{4x^3}?
  5. How do negative exponents affect expressions like 1yn\frac{1}{y^n}?

Tip: When simplifying fractions with the same base in the numerator and denominator, subtract the exponents of like terms!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Fractions
Exponents

Formulas

y / y^2 = 1 / y

Theorems

Laws of Exponents

Suitable Grade Level

Grades 6-8