((1)/(3))^(-3)((1)/(2))^(3))-:((1)/(4))^(-2)

((3(2)/(3))^(2)-(2(1)/(2))^(2))/((4(3)/(4))^(2)-(3(1)/(3))^(2))-:(3(2)/(3)-2(1)/(2))/(4(3)/(4)-3(1)/(3))=?(37)/(97) (b) (74)/(97)( c) 1(23)/(74) (d) None of these

Simplify ((3(2)/(3))^(2)-(2 (1)/(2)))/((4(3)/(4))^(2)-(3(1)/(3))^(2))+(3(2)/(3)-2(1)/(2))/(4(3)/(4)-3(1)/(3))

(4^(-1)-3^(-1))^(-1)+(2^(-1)-3^(-1))^(-1)=((1)/(4)-(1)/(3))^(-1)+((1)/(2)-(1)/(3))^(-1)

Sum the following geometric series to infinity: (sqrt(2)+1)+1+(sqrt(2)-1)+...oo(1)/(2)+(1)/(3^(3))+(1)/(2^(3))+(1)/(3^(4))+(1)/(2^(5))+(1)/(3^(6))+...oo

Simplify : (1): [(1/3)^(-3)-\ (1/2)^(-3)]-:(1/4)^(-3) (2): (2^2+\ 3^2-4^2)-:(3/2)^2

Simplify : (1): [(1/3)^(-3)-\ (1/2)^(-3)]-:(1/4)^(-3) (2): (2^2+\ 3^2-4^2)-:(3/2)^2

Simplify: (i) {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (ii) (3^2-\ 2^2)x\ (2/3)^(-3) (iii) {(1/2)^(-1)x\ (-4)^(-1)}^(-1) (iv) [{((-1)/4)^2}^(-2)]^(-1) (v) {(2/3)^2}^3x\ (1/3)^(-4)x\ 3^(-1)x\ 6^(-1)

Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (3^2-\ 2^2)x\ (2/3)^(-3) {(1/2)^(-1)x\ (-4)^(-1)}^(-1) [{((-1)/4)^2}^(-2)]^(-1) {(2/3)^2}^3x\ (1/3)^(-4)x\ 3^(-1)x\ 6^(-1)

Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (3^2-\ 2^2)x\ (2/3)^(-3) {(1/2)^(-1)x\ (-4)^(-1)}^(-1) [{((-1)/4)^2}^(-2)]^(-1) {(2/3)^2}^3x\ (1/3)^(-4)x\ 3^(-1)x\ 6^(-1)