Properties of Integer Exponents

  1. \rhd Exponents (basic properties) (12:26)  An overview of the basic properties with several examples.
  2. \rhd  Exponents (3:29) Simplify 3^4, 2^6, (-1)^7.
  3. \rhd  Evaluating expressions (numbers only) (2:18) Evaluate 2+(1-5)^2+3^2, 7-(4-2)^3+(-2)^3.
  4. \rhd  Evaluating expressions (numbers only) (3:58) Evaluate -4[2(4)^2-5^2]^2, 7[2\cdot 3^3-8^2]^2.
  5. \rhd  Evaluating expressions (numbers and variables) (6:02) Evaluate (2x^3y^4)(3xy^5)^2, (x^5y^9)(-5x^2y^2)^4.
  6. \rhd  Evaluating expressions (numbers and variables) (3:02) Evaluate \left(\displaystyle\frac{x^2}{2}\right)^4, \left(\displaystyle\frac{4}{n^6}\right)^2.
  7. \rhd  Evaluating expressions (numbers and variables) (8:47) Evaluate \displaystyle\frac{(3x^2y^4)^5}{(3x^3y^7)^3}, \displaystyle\frac{(5xy^2)^4}{(5x^2y)^6}.
  8. \rhd  Negative exponents and fractional exponents (10:13) Basic definitions followed by several examples.
  9. \rhd  Evaluating expressions with negative exponents  (6:07) Evaluate \displaystyle\frac{t^2u^3v^5}{t^4u^2v^8}, \displaystyle\frac{5a^7b^5}{25a^9b^3}.