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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25.
Exponents
25.1
Product rule of exponents
25.2
Quotient rule of exponents
25.3
Power of a product rule
25.4
Power of a quotient rule
25.5
Power of a power rule
25.6
Negative exponent rule
25.7
Combining the exponent rules
25.8
Scientific notation
25.9
Convert between radicals and rational exponents
25.10
Solving for exponents
ACCUPLACER Test Prep
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