Quotient rule of exponents

Quotient rule of exponents

Quotient rule simply states that as long as the base is the same, we can just divide two powers by subtracting the exponents. This is a shortcut to simplify exponents.

Lessons

ambn \frac{a^m}{b^n} = amn { a^{m-n}}

  • 1.
    What are exponent rules?

  • 2.
    Simplify the following:
    a)
    a9a5 \frac{a^9}{a^5}

    b)
    x11y6z3x3y2z2 \frac{x^{11}y^6z^3}{x^3y^2z^2}