Answer :
i) [tex]2 ^{a}*2 ^{b}* 2^{c} [/tex]
We know that [tex] x^{a} * x^{b} = x^{a+b} [/tex]
Therefore,
[tex]2 ^{a}*2 ^{b}* 2^{c} [/tex] = [tex]2 ^{a+b+c} [/tex]
ii) [tex]2 ^{a+b} * 2 ^{a-b}= 2^{(a+b+a-b)} [/tex]
[tex]= 2^{2a} [/tex]
We know that [tex] x^{a} * x^{b} = x^{a+b} [/tex]
Therefore,
[tex]2 ^{a}*2 ^{b}* 2^{c} [/tex] = [tex]2 ^{a+b+c} [/tex]
ii) [tex]2 ^{a+b} * 2 ^{a-b}= 2^{(a+b+a-b)} [/tex]
[tex]= 2^{2a} [/tex]
