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concepts map 4.1-4.6, 2^4= - Coggle Diagram

- - - - example
        
        fourth power of two = 2x2x2x2
    - - example
        
        fourth power of two =2^4
  - - - the number under the exponent
        
        example
        
        b^2
        
        the b in stands as the base of the exponent
    - - the raised simple above the base
        
        example
        
        b^2
        
        the squared (exponent) shows the amount of times the base will need to be multiplied by itself
  - - - solving
        
        to find the power of a power you need to multiply the esponents
      - example
        
        (r^t)^x= r^t*x
    - - solving
        
        to find the power of the product, find the power of each factor and then multiply them
      - example
        
        xy^r= x^r y^r
    - - solving
        
        multiply the two powers, if it has the same base , add them
      - example
        
        c^t * c^x= c^(t+x)
- - - - relation with polynomials
        
        a sum of monomials is a polynomial
      - coefficient and numeral coefficient
        
        a numeral is also called a coefficient or a numeral coefficient
        
        example
        
        1,2,3,4,5,6,7,8,9...
      - DEFINITION
        
        an algebraic expression consisting of one term.
      - DEGREE OF A MONOMIAL
        
        The degree of a monomial is defined as the sum of all the exponents of the variables
    - - when we add and subtract polynomials the key for solving it are like terms
        
        LIKE TERMS
        
        Like terms" are terms whose variables (and their exponents such as the 2 in x^2) are the same.
        
        examples
        
        2x+8x
        
        6xy-12xy
        
        12^3+4^3
    - - when the variables have an exponent and the like terms are already together, the exponents stay the same the only thing that adds, or substract is the numeral coefficent
        
        example
        
        2xy^2+8xy^2= 10xy^2
    - - The degree of an individual term of a polynomial is the exponent of its variable
    - - DEFINITION
        
        Two terms
        
        example
        
        5y+8
    - - DEFINITION
        
        three terms
      - example
        
        6xy^2 xy^2 1xy