(-2)^100+(-2)^101÷(-2)^101*(-2)^101
=(-2)^100+(-2)^(101-101+101)
=(-2)^100+(-2)^101
=2^100-2^101
=2^100-2*2^100
=2^100*(1-2)
=-2^100
(-2)^100+(-2)^101÷(-2)^101*(-2)^101
=(-2)^100+(-2)^(101-101+101)
=(-2)^100+(-2)^101
=2^100-2^101
=2^100-2*2^100
=2^100*(1-2)
=-2^100