What of the following statement(s) is/ar...

What of the following statement(s) is/are true?
I. `(65)^(1//6)> (17)^(1//4)> (12)^(1//3)`
II. `(17)^(1//4)>(65)^(1//6)> (12)^(1//3)`
III. `(12)^(1//3)>(17)^(1//4)>(65)^(1//6)`

A

only I

B

only II

C

only III

D

None of these

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Which of the following is a proper fraction? (13)/(17) (b) (17)/(13) (c) (12)/5 (d) 1 3/4

Simplify. (i) ((15^(1//3))/(9^(1//4)))^(-6) (ii) ((12^(1//5))/(27^(1//5)))^(5//2) (iii) ((15^(1//4))/(3^(1//2)))^(-2)

Simplify (i) 2^(2/3). 2^(1/3) (ii) (3^(1/5))^4 (iii) (7^(1/5))/(7^(1/3)) (iv) 13^(1/5). 17^(1/5)

Prove the following results: tan(cos^(-1)((4)/(5))+tan^(-1)((2)/(3)))=(17)/(6)

Which one of the following is true? 1/2<9/(13)<3/4<(12)/(17) (b) 3/4<9/(13)<1/2<(12)/(17) (c) 1/2<3/4<9/(13)<(12)/(17) (d) 1/2<9/(13)<(12)/(17)<3/4

Evaluate each of the following: sin((cot^(-1)4)/(3)) (ii) sin((sec^(-1)(17))/(15)) (iii) sin(csc^(-1)(17)/(8))

Evaluate the following: (i) 6! -5! (ii) (30!)/(28!) (iii) (15!)/(12!3!) (iv) (1)/(4!)+(1)/(5!) +(1)/(6!)

Prove the following results: tan((cos^(-1)4)/(5)+(tan^(-1)2)/(3))=(17)/(6)(ii)cos((sin^(-1)3)/(5)+(cot^(-1)3)/(2))=(6)/(5sqrt(13))

Simplify (i) (3^(4))^((1)/(2)) (ii) (64)^((1)/(6)) (iii) ((1)/(3^(4)))^((1)/(2))