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Review: Exponent Rules (Laws of Exponents)

  1. Multiplying powers with the same base: an×am=an+m\large a^n\times a^m=a^{n+m}
  2. Dividing powers with the same base: an÷am=anm\large a^n\div a^m=a^{n-m}
  3. Power of powers: (an)m=an×m\large (a^n)^m=a^{n\times m}
  4. Powers of products: (ab)n=(anbn)\large \left(ab\right)^n=\left(a^nb^n\right)
  5. Powers of quotients: (ab)n=(anbn)\large \left(\dfrac{a}{b}\right)^n=\left(\dfrac{a^n}{b^n}\right)