`(i) 5^0-6^0+8^0 and (ii) (4+5)^-1 - (6+8)^-1`

Evaluate (i) (8^-1 xx 5^3)/(2^-4) (ii) (5^-1 xx 2^-1) xx 6^-1

Find the distance between the following pairs of points : (i) (-2, 1, -3) and (4, 3, -6) (ii) (9, -12, -8) and (0,0,0) (iii) (2,1,-3) and (2, 3, -3) (iv) (1,0,0) and (4, 4, 5)

Replace ( ) by the correct number: (\ )-5/8=1/4 (ii) (\ )-1/5=1/2 1/2-\ (\ )=1/6

Show that the following points are collinear : (i) (0,7,-7), (1,4,-5), (-1, 10,-9) (ii) (3,-5,1), (-1,0,8), (7,-10,-6) (iii) (-2,3,5),(7,0,-1),(1,2,3)

find three rational numbers between (i) –1 and –2 (ii) 0.1 and 0.11 (iii) 5/7 and 6/ 7 (iv) 1/4 and 1/ 5

Simplify. (i) (25 xx t^(-4))/(5^3 xx 10 xx t^(-8)) (t != 0) (ii) (3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))

Find area of the triangle with vertices at the point given in each of the following : (i) (1,0), (6,0), (4,3) (ii) (2,7), (1,1), (10,8)

(""^(8) C_(0) )/(6) - ""^(8) C_1 + ""^(8) C_(2) . 6-""^(8) C_3 . 6^2 + ... + ""^(8) C_(8) .6^(7) is equal to (i) 0 (ii) 6^7 (iii) 6^5 (iv) (5^8)/(6)

Find the additive inverse of: (i) 9, (ii) -11, (iii) -8/13 , (iv) 5/-6 , (v) 0

Find: (i) 0.2 xx 6 (ii) 8 xx 4.6 (iii) 2.71 xx 5 (iv) 20.1 xx 4 (v) 0.05 xx 7 (vi) 211.02 xx 4 (vii) 2 xx 0.86