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}

Do better in math today
Get Started Now
8.
Exponents
8.1
Product rule of exponents
8.2
Quotient rule of exponents
8.3
Power of a product rule
8.4
Power of a quotient rule
8.5
Power of a power rule
8.6
Negative exponent rule
8.7
Combining the exponent rules
8.8
Scientific notation
8.9
Convert between radicals and rational exponents
8.10
Solving for exponents
Transition Year Maths
Don't just watch, practice makes perfect