compute the minimum distance of the code C and decode the vectors u, v, and w using nearest neighbor decoding.
R.5 1/12/16 Powers (exponents) and Radicals(roots) ● always read instructions ● find which rule you are applying Powers and Exponents= the repeated action of multiplying the base number 2 3 ex. X = X • X or 3 = 3 • 3 • 3 Essentially X =x • x • x …(whatever the letter n times is) Rules of exponents (NOTE: this only applies to multiplication and division applications): The product and division of the same base rule ● x =1 ● x = 0 1 NOTE: x =/x ● x • x = xm+n m ● X n = xm−n X ● x−m = 1 x ● (x ) =x m•n (indication of distribution) ● (xy) =x y m m ● ( ) = x y ym Be Careful: (x + y) =/x + y n (x − y) =/x − y (these rules do not apply to these equations) Keep In Mind: Terms refer to addition and subtractions Factors refer to multiplication and division Problem Solving: Simplify the following Radicals (inverse of Exponents): These rules only apply to multiplication and division n √ a nth root of a n= the index n= 2(the square root), 3 (the cube root), 4 (the fourth root of)... and so on a= the radicand
