-1,2, - 4,8, - 16,32. According to the law, find the nth number (expressed by the formula containing n) Calculate the following two groups of formulas: (3 × 5) square and 3 × 5 square, [(- 2) × 3] square, and (- 2) square × 3 square. Are the results of each group of two formulas the same? (2) think about what the third power of (AB) equals? (3) guess what the n power of (AB) equals when n is a positive integer? If a = 25 and B = - 3, what is the last digit of a to the power of 2003 and B to the power of 2004?

-1,2, - 4,8, - 16,32. According to the law, find the nth number (expressed by the formula containing n) Calculate the following two groups of formulas: (3 × 5) square and 3 × 5 square, [(- 2) × 3] square, and (- 2) square × 3 square. Are the results of each group of two formulas the same? (2) think about what the third power of (AB) equals? (3) guess what the n power of (AB) equals when n is a positive integer? If a = 25 and B = - 3, what is the last digit of a to the power of 2003 and B to the power of 2004?

Title: n power of 1 times n-1 power of 2
(1) The results were the same in both groups
(2) (AB) to the third power = the third power of a times the third power of B
(3) Equal to the nth power of a times the nth power of B
(4) (25) ^ 2003 according to the above conjecture, it can be divided into 2x5x [(2) ^ 2002x (5) ^ 2002] = 10x [(2) ^ 2002x (5) ^ 2002] and the last bit must be 0