`(2/5)^2xx(2/5)^3xx(2/5)^(-6)=(5/2)`

Evaluate each of the following: (i)\ 2^(55)xx\ 2^(60)-\ 2^(97)xx\ 2^(18) (ii)\ (2/3)^2xx\ (2/5)^(-3\ )xx\ (3/5)^2

Find n such that (2/3)^3xx(2/3)^5=(2/3)^n^(-2) ((125)/8)^5xx((125)/8)^n=(5/2)^(18)

Simplify and write the answer in the exponential form. (i) (2^5 -: 2^8)^5 xx 2^(-5) (ii) (-4)^(-3) xx (5)^(-3) xx (-5)^(-3) (iii) 1/8 xx (3)^(-3) (iv) (-3)64 xx (5/3)^4

Evaluate each of the following: (i)\ (2/(11))^4\ xx\ \ ((11)/3)^2\ xx\ \ (3/2)^3 (ii)\ (1/2)^5\ xx\ ((-2)/3)^4xx\ (3/5)^(-1)

Find n if : a. ((4)/(49))^(5)xx((4)/(49))^(n-3)=((2)/(7))^(16) b. ((5)/(7))^(12)xx[((7)/(5))^(2)]^(8)=((7)/(5))^(2n-6) c. ((9)/(25))^(4)xx((9)/(25))^(n)=((3)/(5))^(12) d. ((3)/(5))^(20)xx[((5)/(3))^(3)]^(6)=((3)/(5))^(3n-13)

Evaluate : a. (-1)^(11) b. (-3)^(2)xx(5)^(3) c. 6^(2)xx3^(3) d. (-2)^(3)xx(-5)^(2) e. (-1)^(7)xx2 f. (-1)^(4)xx(-1)^(5) g. 4^(3)xx3^(4) h. (-2)^(5)xx5^(3) i. (-4)^(3)xx(-6)^(3) j. (-1)^(33)xx(-3)^(1) k. ((-1)/(6))^(2) l. ((2)/(11))^(3)

Simplify: (i) (-2)xx(-3)^3 (ii) (-3)^2xx(-5)^3 (iii) (-2)^5xx(-10)^2

Find the value of n : (2^(3)xx5^(n+1)xx10^(2)xx5^(n-1))/(125xx5^(n-2)xx2^(7))=(25)/(4)

Evaluate: |(1)/(3)-(3)/(5)|+|(2)/(9)xx(3)/(4)|-|(5)/(6)-(2)/(3)|

Evaluate : (-5)^(2)xx(-5)^(3)