Simplify the following expression:
a+b-1a+cbc+1-1-b-1abc+a+c
=a+1ba+c·1bc+1-1babc+a+c
=a1·bb+1ba+cbc+1-1b·abc+a+c
=abb+1ba1·bc+1bc+1+cbc+1-1b·abc+a+c
=ab+1ba·bc+1bc+1+cbc+1-1b·abc+a+c
=ab+1ba·bc+1+cbc+1-1b·abc+a+c
=ab+1babc+a+cbc+1-1b·abc+a+c
=ab+1b÷abc+a+cbc+1-1b·abc+a+c
=ab+1b· bc+1abc+a+c-1b·abc+a+c
=ab+1·bc+1b·abc+a+c-1ab2c+ab+bc
=ab2c+ab+bc+1ab2c+ab+bc-1ab2c+ab+bc
=ab2c+ab+bc+1-1ab2c+ab+bc
=ab2c+ab+bcab2c+ab+bc
=1
Properties of Exponents:
am·an=am+n
aman=am-n
amn=am·n
ab-n=ban
a0=1
1
