Product rule of exponents

Product rule of exponents

Exponents are often use in algebra problems. So, it is utmost important that we are familiar with all of the exponent rules. It would be a nightmare if we need to multiply them one by one! By the product rule of exponents, we can add the exponents up when we want to multiply powers with the same base.
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

(am ({a^m} )(an)=am+n {a^n} ) = {a^ {m+n}}

  • Introduction
    What are exponent rules?
  • 1.
    Simplify the following:
    a)
    a4×a5{a^4} \times {a^5}

    b)
    (34x+3)(3x+4)({3^{4x+3}} )({3^{x+4}} )

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15.
Exponents
15.1
Product rule of exponents
15.2
Quotient rule of exponents
15.3
Power of a product rule
15.4
Power of a quotient rule
15.5
Power of a power rule
15.6
Negative exponent rule
15.7
Combining the exponent rules
15.8
Scientific notation
15.9
Convert between radicals and rational exponents
15.10
Solving for exponents
NZ Year 10 Maths
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