Friday, September 16, 2011

Rules of Exponents

1) A variable with the exponent 1 is same variable.
2) When the exponent is zero the variable(Or whatever the variable is) always equals 1.
3) When the exponent is negative, put 1 over the variable and make the exponent positive.
4) When multiplying the variables with exponents, add the exponents and multiply the variables.
5) When dividing the variables with exponents, subtract the exponents and divide the variables.
6) When the variable x cubed is being squared, you multiply the 3 and 2.(from the example)
7) When the the variables xy is cubed, then each of the variable are cubed.(from the example)
8) When x divided by y is being cubed, then you cube both x and y.(from the example)
9) When the exponent is negative, put 1 over the variable and make the exponent positive.

Matricies

Dimensions of a Matrix:
# of Rows x # of Columns



     There are 2 Rows                                                                           There are 3 Columns







Example:
# of Rows: 3
# of Columns: 2
So it is a 3x2 matrix




System of Equations

Consistent - It has a solution
  • Dependent - All Numbers/ Many Solutions
    • Same Slope
    • Same Y-Intercept












  • Independent - One Solution
    • Different Slope
    • Different Y-Intercept















Inconsistent - It has no solution