Operations with Exponents

learning_notes

Last updated: 8/16/2025

Key Concepts:

  • Product Rule: (a^m \cdot a^n = a^{m+n}).
  • Power Rule: ((a^m)^n = a^{m \cdot n}).
  • Quotient Rule: (\frac{a^m}{a^n} = a^{m-n}).

Skills Covered:

  • Applying exponent rules to simplify expressions.
  • Rewriting expressions with exponent properties.

Example Problems:

  • Simplify: (x^3 \cdot x^2); Solution: (x^5)
  • Simplify: ((y^2)^3); Solution: (y^6)
  • Simplify: (\frac{z^5}{z^2}); Solution: (z^3)

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