Power of a power rule

Power of a power rule

It's easy once you know the trick. The power of a power rule basically says every term in the bracket should be raised to the given power. What if the term has an exponent already? You just need to multiply the exponent by the power!
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)n=amn ( {a^m} {)^n} = {a^{mn}}

  • Introduction
    What are exponent rules?
  • 1.
    Simplify the following:
    a)
    (z6)3 ({z^6} {)^3}

    b)
    (−2)0 (-2{)^0}

    c)
    −(2)0{-(2)^0}

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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
Don't just watch, practice makes perfect