" 7."{((1)/(3))^(-3)-((1)/(2))^(-3)}-:((1)/(4))^(-3)=?

(7)/(8)+(3)/(4)((1)/(2))(2)/(3)-(1)/(3))

[{((1)/(7^(2)))^(-2)}^((1)/(3))]^((1)/(4))=7^(m), is -(1)/(3)(b)(1)/(4)(c)-3(d)2

(7)/(8)-(3)/(4)+(1)/(2)=(7-3+1)/(8)=

7(1)/(2)-((8)/(11)xx7(1)/(3))-:(3(1)/(2)-2(1)/(4))

((2)/(3)x+4)((3)/(2)x+6)-((1)/(7)x-1)((1)/(7)x+1)

If (3)/(4)+(1)/(3)((3)/(4))^(3)+(1)/(5)((3)/(4))^(5)+....=log_(e)a,(1)/(3)+(1)/(3.3^(3))+(1)/(5.3^(5))+(1)/(7.3^(7))+....=log_(e)b, 1+(1)/(3.2^(2))+(1)/(5.2^(4))+(1)/(7.2^(6))+....=log_(e)c then the ascending order of a, b, c is

(3)/(4)" of "((1)/(3)+(1)/(2))-:((1)/(7)+1(1)/(14))" of "2times(1)/(4)-(1)/(2)" of "(3)/(4)

The sum of the series 1 + (1)/(3^(2)) + (1 *4)/(1*2) (1)/(3^(4))+( 1 * 4 * 7)/(1 *2*3)(1)/(3^(6)) + ..., is (a) ((3)/(2))^((1)/(3)) (b) ((5)/(4))^((1)/(3)) (c) ((3)/(2))^((1)/(6)) (d) None of these

The greatest of the numbers 2(1)/(2),3^((1)/(3)),4^((1)/(4)),5^((1)/(5)),6^((1)/(6)) and 7^((1)/(7)) is

Solve : (i) 2^((2)/(3))*2^((1)/(4)) (ii) ((1)/(3^(3)))^(7) (iii) (11^((1)/(2)))/(11^((1)/(4))) (iv) 7^((1)/(2))*8^((1)/(2))