Question -
Answer -
(i) 10 ├Ч 1011┬а= 101+11┬а= 1012
RHS = 10011┬а= (102)11┬а=1022
1012┬атЙа 1022
тИ┤Statement is false.
(ii) 23┬а> 52
LHS = 23┬а= 8
RHS = 522 = 25
8 < 25
тИ┤ 23┬а< 52
Thus, the statement is false.
(iii) 23┬а├Ч 32┬а= 65
LHS = 233 ├Ч 32┬а=8 ├Ч 9 = 72
RHS = 65┬а= 6 ├Ч 6 ├Ч 6 ├Ч 6 ├Ч 6 =7776
тИ┤ 72 тЙа7776
тИ┤ Thestatement is false.
(iv) 30┬а= (1000)0
тЗТ 1 = 1True [тИ╡ a0┬а= 1]