Answer :

(i) (31/2+1/6.5-3/2 +1) / (3-1/3.51/2)

=(32/3.5-1/2) / (3-1/3.51/2)


=(32/3 + 1/3) / (51/2 +1/2)


=3/5


(ii) (32 )3/2 -3.1 – (1/92)-1/2


= 33 -3 -9


=27 -3 -9


=27-12


=15


(iii) 2(-2)(-2) -3.82/3 +(3/4)-1


=24 -3.22 + 4/3


=16 -12 + 4/3


=16/3


(iv) [(2.31/3)/(2-1/5 52/5)] × (2-1/5.3)/ (34/3.57/5)


= 2.31/3 +1 -4/3 / 52/5-7/5


= 2.5


=10


(v) 1/2 + 1/(0.01)1/2 -32


=1/2 + 10 – 9


=1/2 + 1


=3/2


(vi) (2n + 2n-1)/ ) (2n+1 - 2n)


=2n(1 + 2-1 ) / 2n (2-1)


= [1 + (1/2)]/1


=1 + 1/2


=3/2


(vii) (125/64)2/3 + (625/256)1/4 + ( 5/4)


=(5/4)2 + 5/4 + 5/4


=25/16 + 5/4 + 5/4


=65/16


(viii) (3-3.62.7(2)1/2)/ (54/3.(15)-4/3‑.31/3) =28(2)1/2


(3-3.36.7(2)1/2)/ (54/3-4/3.(3)-1)


(3-2.36.7(2)1/2)/ (50)


1/9.36.7(2)1/2


28


(ix) {1- 1/0.1}/ { (3/8)-1(3/2)3 + (-1/3)-1


=1-10/{ (8/3)(3/2)3 + (-3)


=-9/(32-3)


= -3/2


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