Question
(〖(0.5)〗^(1/3) × 〖(1/125)〗^(1/4) ×
〖25〗^(1/6) ×〖(6.25)〗^(2/3))/(〖(2.5)〗^(2/3) × 5^(-1/2) × 〖(1/5)〗^(-2)×〖3125〗^((-1)/4) ) =? What value should come in place of the question-mark (?) in the following questions:Solution
(〖(0.5)〗^(1/3) × 〖(1/125)〗^(1/4) × 〖25〗^(1/6) ×〖(6.25)〗^(2/3))/(〖(2.5)〗^(2/3) × 5^(-1/2) × 〖(1/5)〗^(-2)×〖3125〗^((-1)/4) ) = (5^(1/3)/〖10〗^(1/3) × 1/5^(3/4) × 5^(1/3) × 5^(8/3)/〖10〗^(4/3) )/(5^(4/3)/〖10〗^(2/3) × 5^(-1/2) × 5^2 × 5^(-5/4) ) = (5^(1/3-3/4+1/3+8/3) ×〖10〗^(-1/3-4/3))/(5^(4/3-1/2+2-5/4) × 〖10〗^(-2/3) ) = (5^(31/12) × 〖10〗^(-5/3))/(5^(19/12) × 〖10〗^(-2/3) ) = 5^(12/12) × 〖10〗^(-1) = 1/2
Find the wrong no in the given number series.
25, 123, 341, 727, 1329, 2199
- 72, 102, 148, 200, 272, 362
132, 130, 136, 126, 142, 110
Find the wrong number in the given number series.
24, 120, 720, 5040, 40320, 362881
32, 16, 24, 60, 207, 945
Find the wrong number in the given number series.
121.5, 81, 52, 36, 24, 16
420 342 272 212 156 110
...26, 38, 60, 110, 206, 398
3 6 18 149 602 15057
...15, 30, 30, 20, 10, 8
