Power of a quotient rule

Power of a quotient rule

The power of a quotient rule is used when we want to simplify a fraction that is raised to a power. Every term needs to be raised to a 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

(ambn)p=ampbnp ( \frac{a^m}{b^n} {)^p} = \frac{a^{mp}}{b^{np}}

  • Introduction
    What are exponent rules?
  • 1.
    Simplify the following:
    a)
    (x6)2( \frac{x}{6} {)^2}

    b)
    (2c5d46c3)2 (\frac{2c^5d^4}{6c^3} {)^2}

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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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