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

aman \frac{a^m}{a^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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11.
Exponents
11.1
Product rule of exponents
11.2
Quotient rule of exponents
11.3
Power of a product rule
11.4
Power of a quotient rule
11.5
Power of a power rule
11.6
Negative exponent rule
11.7
Combining the exponent rules
11.8
Scientific notation
11.9
Rational exponents
11.10
Solving for exponents
Basic Algebra
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