`(frac(1)(2))^(-2)+(frac(1)(3))^(-2)+(frac(1)(4))^(-2)=`?

{(frac(1)(3))^(-3)-(frac(1)(2))^(-3)}= ?

{(frac(1)(3))^(-3)-(frac(1)(2))^(-3)} div (frac(1)(4))^(-3)= ?

Solve (1-frac(1)(2))(1-frac(1)(3))(1-frac(1)(4))....(1-frac(1)(n))

Simplify each of the following and express each as a rational number: ( i ) (frac(3)(2))^(4) xx (frac(1)(5))^(2) ( ii ) (frac(-2)(3))^(5) xx (frac(-3)(7))^(3) ( iii ) (frac(-1)(2))^(5) xx 2^(3) xx (frac(3)(4))^(2) ( iv ) (frac(2)(3))^(2) xx (frac(-3)(5))^(3) xx (frac(7)(2))^(2) ( v ) {(frac(-3)(4))^(3)-(frac(-5)(2))^(3)} xx 4^(2)

If (1-frac(1)(2)) (1-frac(1)(3)) (1-frac(1)(4) ) _____ (1-frac(1)(40)) = frac(xx)(40) , then x is equal to

(frac(1) (216))^(frac(2)(3)) div (frac(1)(27))^(frac(4)(3)) is equal to (A) frac(3)(4) (B) frac(2)(3) (C ) frac(4)(9) (D) frac(1)(8)

{(frac(1)(3))^(2)}^(4)= ?

Express each of the following as a rational number: ( i ) 5^(-3) ( ii ) (-2)^(-5) ( iii ) (frac(1)(4))^(-4) ( iv ) (frac(-3)(4))^(-3) ( v ) (-3)^(-1) xx (frac(1)(3))^(-1) ( vi ) (frac(5)(7))^(-1) xx (frac(7)(4))^(-1) ( vii ) (5^(-1)-7^(-1))^(-1) ( viii ) {(frac(4)(3))^(-1)-(frac(1)(4))^(-1)}^(-1) ( ix ) {(frac(3)(2))^(-1) div (frac(-2)(5))^(-1)} ( x ) (frac(23)(25))^(@)

Solve: frac(x+1)(x-1) - frac(1)(2) = frac(1)(3)

[ 3 frac (1)(4)+ {1 frac(1)(4) -frac(1)(2)(2 frac(1)(2)-frac(1)(4)-frac(1)(6))} ]+(4 frac(1)(3)of frac(1)(2)) = ? Options are (A) 18 (B) 36/7 (C) 45/8 (D) 78.