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Fundamental Concepts of Algebra
Rating: 4.4 out of 5(20 ratings)
1,062 students

Fundamental Concepts of Algebra

Exponents
Created byBoubacar Siddy Diallo
Last updated 3/2022
English
English [Auto],

What you'll learn

  • Product Rule
  • Quotient Rule
  • Zero exponent Rule
  • Negative Exponent

Explore related topics

Course content

1 section • 8 lectures • 30m total length

  • Definition3:08

    Introduce exponents by defining base and exponent, read expressions like x to the power y, and explore numeric and variable examples, with the product rule upcoming.

  • Product Rule7:44

    explore product rule for multiplying expressions with the same base by adding exponents, illustrated via examples like 2^3 times 2^6 and 2x^2 y^3 times 3x^4 y^2 yielding 6 x^6 y^5.

  • Quotient Rule4:32

    Explore the quotient rule by subtracting exponents with the same base, and practice simplifying expressions like 2^6/2^3 and 9x^4 y^7 divided by 3x^2 y^3.

  • Zero exponent rule2:13

    Master the zero exponent rule: any number to the power of zero equals one, as shown by 2^0=1, 5^0=1, and one million^0=1.

  • Negative Exponent Rule4:10

    Explore the negative exponent rule: a^-m = 1/(a^m), with examples like 2^-5 = 1/2^5 and showing how 2^5 equals 32 through repeated multiplication.

  • Power Rule1:39

    Apply the power rule by taking a base to a power, then raising that result to another power and multiplying the exponents, as in (2^3)^2 = 2^6.

  • Power of a product4:10

    Learn how to apply the power to a product by raising each factor to the exponent, illustrated with 3^4, x^4, and 56^5 x^10 y^15.

  • Power of a Quotient3:05

    Demonstrate the power of a quotient, showing that (a/b)^m = a^m/b^m. Use the example 9/2 raised to the third power, which equals 9^3/2^3, or 729/8.

Requirements

  • Arithmetic (basic addition, subtraction, multiplication, and division)

Description

This course is part 2 of an introduction to the fundamental concepts of algebra. This course is designed for anyone with little to no previous algebra experience. The course contains videos with detailed explanations to the following topics: Power Rule, Product, Rule, Quotient Rule, zero exponent rule, negative exponent rule, power of a product, and power of a quotient. This course is part 2 of an introduction to the fundamental concepts of algebra. This course is designed for anyone with little to no previous algebra experience. The course contains videos with detailed explanations to the following topics: Power Rule, Product, Rule, Quotient Rule, zero exponent rule, negative exponent rule, power of a product, and power of a quotient.
This course is part 2 of an introduction to the fundamental concepts of algebra. This course is designed for anyone with little to no previous algebra experience. The course contains videos with detailed explanations to the following topics: Power Rule, Product, Rule, Quotient Rule, zero exponent rule, negative exponent rule, power of a product, and power of a quotient.
This course is part 2 of an introduction to the fundamental concepts of algebra. This course is designed for anyone with little to no previous algebra experience. The course contains videos with detailed explanations to the following topics: Power Rule, Product, Rule, Quotient Rule, zero exponent rule, negative exponent rule, power of a product, and power of a quotient.

Who this course is for:

  • Anyone who will be learning Algebra

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