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Lesson 4.1: Integer Exponents

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Terms in this set (6)

  • Product Rule

    \(a^{m}\cdot a^{n}=a^{mn}\)

  • Quotient Rule

    \(\frac{a^{m}}{a^{n}}=a^{m-n}\)

  • Zero Exponent

    \(a^0=1\)

  • Negative Exponent

    \(a^{-n}=\frac{1}{a^{n}}\)

  • Power Rules

    a) \(\left(a^{m}\right)^{n}=a^{mn}\)

    b) \(\left(ab\right)^{m}\)

    c) \(\left(\frac{a}{b}\right)^{m}\)

  • Special Rules for Negative Exponents

    a) \(\frac{1}{a^{-n}}=a^{n}\)

    b) \(\frac{a^{-n}}{b^{-m}}=\frac{b^{m}}{a^{n}}\)