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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19.
Indices
19.1
Indices: Product rule (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)}
19.2
Indices: Division rule axay=a(x−y){a^x \over a^y}=a^{(x-y)}
19.3
Indices: Power rule (ax)y=a(x⋅y) (a^x)^y = a^{(x\cdot y)}
19.4
Indices: Negative exponents
19.5
Indices: Zero exponent: a0=1 a^0 = 1
19.6
Indices: Rational exponents
19.7
Combining laws of indices
19.8
Scientific notation
19.9
Convert between radicals and rational exponents
19.10
Solving for indices
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