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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26.
Exponents
26.1
Product rule of exponents
26.2
Quotient rule of exponents
26.3
Power of a product rule
26.4
Power of a quotient rule
26.5
Power of a power rule
26.6
Negative exponent rule
26.7
Combining the exponent rules
26.8
Scientific notation
26.9
Convert between radicals and rational exponents
26.10
Solving for exponents
ACCUPLACER Test Prep
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