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Question -

Say true or false and justify your answer:
(i) 10 × 1011 = 10011
(ii) 23 > 52
(iii) 23 × 32 = 65
(iv) 320 = (1000)0



Answer -

(i) 10 × 1011 = 101+11 = 1012
RHS = 10011 = (102)11 =1022
1012 ≠ 1022
∴Statement is false.

(ii) 23 > 52
LHS = 23 = 8
RHS = 522 = 25
8 < 25
∴ 23 < 52
Thus, the statement is false.

(iii) 23 × 32 = 65
LHS = 233 × 32 =8 × 9 = 72
RHS = 65 = 6 × 6 × 6 × 6 × 6 =7776
∴ 72 ≠7776
∴ Thestatement is false.

(iv) 30 = (1000)0
⇒ 1 = 1True [∵ a0 = 1]

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