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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8.
Exponents
8.1
Product rule of exponents
8.2
Quotient rule of exponents
8.3
Power of a product rule
8.4
Power of a quotient rule
8.5
Power of a power rule
8.6
Negative exponent rule
8.7
Combining the exponent rules
8.8
Scientific notation
8.9
Convert between radicals and rational exponents
8.10
Solving for exponents
Transition Year Maths
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