Question 997122
.
x=2 to the power of p.
Y= 2 to the power of q.
Express in terms x and or/y,
(i) 2 to the power of p+q
(ii) two to the power of 2q
(iii) 2 to the power of p-1.
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{{{x}}} = {{{2^p}}},     {{{y}}} = {{{2^q}}}.


(I)  {{{2^(p+q)}}} = {{{2^p}}}.{{{2^q}}} = {{{x*y}}}.


(ii)  {{{2^(2q)}}} = {{{2^q}}}*{{{2^q}}} = {{{y*y}}} = {{{y^2}}}.


(iii)  {{{2^(p-1)}}} = {{{1/2}}}.{{{2^p}}} = {{{1/2}}}.{{{x}}} = {{{x/2}}}.