Book Maths Puzzle Numerical Ability Number System

find the last two digits of the following expression with explaination :-

(1021)^3921 + (3081)^3921

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Book Other Question

How many 4 digit can be written using 1,2,3,4,5,6, and 8 only once such that 2 is contained once its answer is 4C1*7C3*3! how???? In the sequence −1, 2, −2, −4, 8, … every term after the second term is the product of the two
previous terms. What is the first term greater than 2014?