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
An optical device Y has a positive focal length. Y is:
Three statements are followed by three conclusions numbered I, II and III. You have to consider these statements to be true, even if they seem at varian...
The ratio of length to breadth of a rectangle is 8:5. When the length and breadth of the rectangle is increased by 20% and decreased by 30% respectively...
Which of the following provisions is/are not correct in regards to the Mountbatten Plan?
Who is considered a part of an insured person's family?
I. Spouse only
II. Minor legiti...
P&L statement is also known as?
A alone can complete 40% of a work in 16 days while B takes 12 days more than A to complete it. If B and C together can complete the work in 20 days, th...
‘Stay Safe Online’ Campaign and ‘G20 Digital Innovation Alliance’ were launched on which date?
The fourth proportional to 10, 40, and 15 is complete it?
Shimla conference held during the period of which Viceroy of India?