`a^2b^3\ xx\ 2a b^2` is equal to: (a) `2a^3b^4` (b) `2a^3b^5` (c) `2a b` (d) `a^3b^5`

The product (a+b)(a-b)(a^2-a b+b^2)(a^2+a b+b^2) is equal to: (a) a^6+b^6 (b) a^6-b^6 (c) a^3-b^3 (d) a^3+b^3

a^3 x 2a^2b x 3a b^5 is equal to: (a) a^6b^6 (b) 23 a^6b^6 (c) 6a^6b^6 (d) None of these

4 a 2 b 3 x 3a b 2 x 5 a 3 b is equal to: (a) 60 a 3 b 5 (b) 60 a 6 b 5 (c) 60 a 6 b 6 (d) a 6 b 5

If a ,\ b ,\ c are positive real numbers, then root(5)(3125\ a^(10)b^5c^(10)) is equal to (a)\ 5a^2b c^2 (b) 25 a b^2c (c) 5a^3b c^3 (d) 125\ a^2b c^2

(2/3)^(-5) is equal to (a) ((-2)/3)^5 (b) (3/2)^5 (c) (2^-5)/3 (d) 2/(3^5)

If a ,b ,and c are in A.P., then a^3+c^3-8b^3 is equal to (a). 2a b c (b). 6a b c (c). 4a b c (d). none of these

If (log)_(10)2=a ,(log)_(10)3=bt h e n(log)_(0. 72)(9. 6) in terms of a and b is equal to (a) (2a+3b-1)/(5a+b-2) (b) (5a+b-1)/(3a+2b-2) (c) (3a+b-2)/(2a+3b-1) (d) (2a+5b-2)/(3a+b-1)

If a ,b ,c ,d in R^+ such that a+b+c=18 , then the maximum value of a^2b^3c^4 is equal to a. 2^(18)xx3^2 b. 2^(18)xx3^3 c. 2^(19)xx3^2 d. 2^(19)xx3^3

Factorise : 2ab^(2) c - 2a + 3b^(3) c - 3b - 4b^(2) c^(2) + 4c

If D is the mid-point of the side B C of triangle A B C and A D is perpendicular to A C , then 3b^2=a^2-c ^2 (b) 3a^2=b^2 3c^2 b^2=a^2-c^2 (d) a^2+b^2=5c^2