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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22.
Exponents
22.1
Product rule of exponents
22.2
Quotient rule of exponents
22.3
Power of a product rule
22.4
Power of a quotient rule
22.5
Power of a power rule
22.6
Negative exponent rule
22.7
Combining the exponent rules
22.8
Scientific notation
22.9
Convert between radicals and rational exponents
22.10
Solving for exponents
Secondary 3 Maths
Don't just watch, practice makes perfect