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.
Basic concepts: Using exponents to describe numbers, Exponent rules, Order of operations with exponents,
Related concepts: Exponents: Product rule (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)}, Exponents: Division rule axay=a(x−y){a^x \over a^y}=a^{(x-y)}, Exponents: Power rule (ax)y=a(x⋅y) (a^x)^y = a^{(x\cdot y)}, Exponents: Negative exponents,

Lessons

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

  • Introduction
    What are exponent rules?
  • 1.
    Simplify the following:
    a)
    a9a5 \frac{a^9}{a^5}

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

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25.
Exponents
25.1
Product rule of exponents
25.2
Quotient rule of exponents
25.3
Power of a product rule
25.4
Power of a quotient rule
25.5
Power of a power rule
25.6
Negative exponent rule
25.7
Combining the exponent rules
25.8
Scientific notation
25.9
Convert between radicals and rational exponents
25.10
Solving for exponents
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