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}

Do better in math today
Get Started Now
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
Don't just watch, practice makes perfect.