Q. 34.6( 67 Votes )

Say true or false

Answer :

(i) We have,

10 × 1011 = 10011


L.H.S. = 10 × 1011


Using identity: (am × an = am + n)


= 1011 + 1


= 1012


R.H.S. = 10011


= (10 × 10)11


= (102)11


Using identity: (am)n = amn


= 102 × 11


= 1022


So, it is clear that


L.H.S. R.H.S.


The statement given in the question is false


(ii) We have,


23 > 52


L.H.S. = 23


= 2 × 2 × 2


= 8


R.H.S. = 52


= 5 × 5


= 25


Since,


It is clear that 25 > 8


The statement given in the question is false


(iii) We have,


23 × 32 = 65


L.H.S. = 23 × 32


= 2 × 2 × 2 × 3 × 3


= 72


R.H.S. = 65


= 6 × 6 × 6 × 6 × 6


= 7776


It is clear that


L.H.S. R.H.S.


The statement given in the question is false


(iv) We have,


30 = (1000)0


L.H.S. = 30


= 1


R.H.S. = (1000)0


= 1


Hence,


L.H.S. = R.H.S.


The statement given in the question is true

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