Exponents: division rule axay=a(x−y){a^x \over a^y}=a^{(x-y)}

Exponents: division rule axay=a(x−y){a^x \over a^y}=a^{(x-y)}

Basic Concepts: Quotient rule of exponents
Related Concepts: Quotient rule

Lessons

  • 1.
    prove: 8582=85−2=83{8^5 \over 8^2} = 8^{5-2} = 8^3
  • 2.
    simplify: 100a16b3c72a4c8{100a^{16}b^3c^7 \over 2a^4c^8}
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27.
Indices and Exponential Functions
27.1
Indices: Product rule (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)}
27.2
Indices: Division rule axay=a(x−y){a^x \over a^y}=a^{(x-y)}
27.3
Indices: Power rule (ax)y=a(x⋅y) (a^x)^y = a^{(x\cdot y)}
27.4
Indices: Negative exponents
27.5
Indices: Zero exponent: a0=1 a^0 = 1
27.6
Indices: Rational exponents
27.7
Combining laws of indices
27.8
Standard form
27.9
Convert between radicals and rational exponents
27.10
Solving for indices
27.11
Graphing exponential functions
GCSE Maths
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