In which of the following expressions, prime factorization has been done?
(i) `24=2\ xx\ 3\ xx\ 4`
(ii) `56=1\ xx\ 7\ xx\ 2\ xx\ 2\ xx\ 2`
(iii) `70=2\ xx\ 5\ xx\ 7\ `
(iv) `54=2\ xx\ 3\ xx\ 9`

Simplify and express each of the following in exponential form: (i) (2^3 xx 3^4 xx 4)/(3 xx 32) (ii) (5^2)^3 xx 5^4 5^7

Simplify each of the following expression: (i) 8 xx (3+7) (ii) (7-2) xx (12+8) (iii) 23+9 xx (6-3)-20

120 can be expressed as a product of its prime factors as (a) 5 xx 8 xx 3 (b) 15 xx 2^3 (c) 10 xx 2^2 xx 3 (d) 5 xx 2^3 xx 3

Simplify : (i) (12^4xx9^3 xx 4)/(6^3 xx 8^2 xx 27) (ii) 2^3 xx a^3 xx 5a^4

Simplify the following: 2/3 xx 5/7div4/9

Simplify : (i) 2 xx 10^3 (ii) 7^2 xx 2^2 (iii) 2^3 xx 5 (iv) 3 xx 4^4

Using appropriate properties find. (i) - 2/5 xx 3/5 + 5/2 - 3/5 xx 1/6 (ii) 2/5 xx (-3/7) - 1/6 xx 3/2 + 1/14 xx 2/5

Simplify and express each of the following as a rational number . ((3)/(4))^(2) xx ((-2)/( 5))^(3) xx 4^(3)

Find the product: (i) 3/4 xx 5/7 , (ii) 5/8 xx (-3/7) , (iii) (-2/5) xx 8

For the fractions given below : (a) Multiply and reduce the product to lowest form (if possible) (b) Tell whether the fraction obtained is proper or improper. (c) If the fraction obtained is improper then convert it into a mixed fraction. (i) 2/5 xx (5) 1/4 (ii) (6) 2/5 xx 7/9 (iii) 3/2 xx (5) 1/3 (iv) 5/6 xx (2) 3/7 (v) (3) 2/5 xx 4/7 (vi) (2) 3/5 xx 3 (vii) (2) 3/5 xx 3 (viii) (3) 4/7 xx 3/5