If A=2, B=-3, then the last digit of 100th power of a +101th power of b is _

If A=2, B=-3, then the last digit of 100th power of a +101th power of b is _

Okay, we only have the last digit to consider 2 to the power of 2. The second power of 2 is 4 The third power of 2 is 8 The fourth power of 2 is 6 The fifth power of 2 is 2 The 6th power of 2 is 4 The 7th power of 2 is 8 The 8th power of 2 is 6, so every 4th power one cycle leads to the 100th power of 2 is 6, the 1st power of 3 is -3, the 2nd power of 3 is 9...

Okay, we only have the last digit to consider 2 to the power of 2. The second power of 2 is 4 The third power of 2 is 8 The fourth power of 2 is 6 The fifth power of 2 is 2 The 6th power of 2 is 4 The 7th power of 2 is 8 The 8th power of 2 is 6, so every 4th power of one cycle leads to the 100th power of 2, which is 6, the 1st power of -3, the 2nd power of -3, which is 9...

(1) The 100th power of 2 plus the 101st power ofst power of minus 2(2) How much is the nth power of 2 equal to a, how much is the nth power of 3 equal to b,. (1) How much is the 100th power of 2 plus the 101st power of minus 2(2) How much is the nth power of 2 equal to a, how much is the nth power of 3 equal to b,.

(1)2^100+(-2)^101=2^100-2*2^100=-2^100
(2)2^N*3^n=6^n=ab