Power of a product rule

Power of a product rule

We use the power of a product rule when there are more than one variables being multiplied together and raised to a power. The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.
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 ({a^mb^n} {)^p} = {a^{mp}b^{np}}

  • Introduction
    What are exponent rules?
  • 1.
    Simplify the following:
    a)
    (−4xy)4 (-4xy)^4

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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
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