Exponents: Product rule (ax)(ay)=a(x+y)(a^x)(a^y)=a^{(x+y)}

Exponents: Product rule (ax)(ay)=a(x+y)(a^x)(a^y)=a^{(x+y)}

Basic Concepts: Product rule of exponents
Related Concepts: Product rule

Lessons

  • 1.
    prove 35⋅32=35+2=373^5 \cdot 3^2 = 3^{5+2} = 3^7
  • 2.
    simplify: (3a2b)(−5a4b10)(3a^2b)(-5a^4b^{10})
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18.
Laws of Indices
18.1
Indices: Product rule (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)}
18.2
Indices: Division rule axay=a(x−y){a^x \over a^y}=a^{(x-y)}
18.3
Indices: Power rule (ax)y=a(x⋅y) (a^x)^y = a^{(x\cdot y)}
18.4
Negative indices
18.5
Zero index: a0=1 a^0 = 1
18.6
Rational indices
18.7
Standard form
GCE N(A)-Level Maths
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