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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23.
Laws of Indices
23.1
Indices: Product rule (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)}
23.2
Indices: Division rule axay=a(x−y){a^x \over a^y}=a^{(x-y)}
23.3
Indices: Power rule (ax)y=a(x⋅y) (a^x)^y = a^{(x\cdot y)}
23.4
Negative indices
23.5
Zero index: a0=1 a^0 = 1
23.6
Rational indices
GCE O-Level Maths
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