Combining the exponent rules

Combining the exponent rules

We have now learned all individual exponent rules in the previous sessions. In this session, we will try to use different exponent rules to solve problems.
Basic Concepts: Product rule of exponents, Quotient rule of exponents, Power of a product rule , Power of a quotient rule , Power of a power rule , Negative exponent rule
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

  • Introduction
    What are exponent rules?
  • 1.
    Simplify the following and write the answer with positive exponents
    a)
    ((−16a5b−3)(3a3b5)2a2b−2)3 (\frac{(-16a^5b^{-3}) (3a^3b^5)}{2a^2b^{-2}} {)^3}

    b)
    ((x3y+5)(x4y−2)xy+3)( \frac{(x^{3y+5}) (x^{4y-2})}{x^{y+3}} )

    c)
    (−3x5y4z9)−3(−5x4y−3z11)4(-3{x^5}{y^4}{z^9}{)^{-3}} (-5 {x^4}{y^{-3}}{z^{11}}{)^4}

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27.
Negative and Rational Exponents
27.1
Exponents: Negative exponents
27.2
Combining the exponent rules
27.3
Rational exponents
27.4
Solving radical equations
27.5
Basic radical functions
CLEP College Math
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