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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24.
Exponents
24.1
Product rule of exponents
24.2
Quotient rule of exponents
24.3
Power of a product rule
24.4
Power of a quotient rule
24.5
Power of a power rule
24.6
Negative exponent rule
24.7
Combining the exponent rules
24.8
Scientific notation
24.9
Convert between radicals and rational exponents
24.10
Solving for exponents
Third Year Maths
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