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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11.
Exponents
11.1
Product rule of exponents
11.2
Quotient rule of exponents
11.3
Power of a product rule
11.4
Power of a quotient rule
11.5
Power of a power rule
11.6
Negative exponent rule
11.7
Combining the exponent rules
11.8
Scientific notation
11.9
Convert between radicals and rational exponents
11.10
Solving for exponents
AU Year 10 Maths
Don't just watch, practice makes perfect