Which is greater `(1/2)^(1/2)` or `(1/3)^(1/3)`?

Which is greater: (3)/(5) of (1)/(4) or (2)/(7) of (5)/(8) ?

Which is greater? 1/2\ of6/7\ or2/3\ of3/7\

Which of the following angles is greater? theta_1=sin^(-1)(4/5)+sin^(-1)(1/3)ortheta_2=cos^(-1)(4/5)+cos^(-1)(1/3)

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

Which of the following angles is greater ? theta_(1) = sin^(-1).(4)/(5) + sin^(-1).(1)/(3) and theta_(2) = cos^(-1).(4)/(5) + cos^(-1).(1)/(3)

The least integer greater than (log)_2(15)* (log)_(1/6)2 * (log)_3 1/6 is ................

Which of the following vaccines are injected to babies at the age of 1(1)/(2), 2(1)/(2) and 3(1)/(2) months

The least integer greater than log_(2) 15* log_(1//6 2* log_(3) 1//6 is _______.

Find the value of. (i) (3^@+4^(-1)) xx 2^2 (ii) (2^(-1)xx 4^(-1))-: 2^(-1) (iii) (1/2)^-2 + (1/3)^-2 + (1/4)^-2 (iv) (3^-1 + 4^-1+ 5^(-1))^0 (v) {((-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)