[tex]a) 2\cdot2^{5}\cdot2^{7}=2^{1+5+7}=2^{13}\\ \\b)7^{6}\cdot7^{3}\cdot7=7^{6+3+1}=7^{10}[/tex]
[tex]c)11^{0}\cdot11^{1}\cdot11^{11}=11^{0+1+11}=11^{12}[/tex]
[tex]d)2^{0}\cdot2^{1}\cdot2^{2}......\cdot2^{9} =2^{0+1+2+....9} \\ \\ 0+1+2+3+....+9=(9\cdot10):2=45\\ \\ = 2^{45}[/tex]
[tex]e)(2^{5})^{15} =2^{5\cdot15}=2^{75}[/tex]
[tex]f)(5^{6})^{7}=5^{6\cdot7}=5^{42}[/tex]
[tex]g)2^{135}:2^{100}=2^{135-100}=2^{35}[/tex]
[tex]h)5^{32}:5^{23}=5^{32-23}=5^{9}[/tex]