Question
(〖(0.4)〗^(1/3) × 〖(1/64)〗^(1/4) ×
〖16〗^(1/6) × 〖(0.256)〗^(2/3))/(〖(0.16)〗^(2/3) × 4^(-1/2) ×〖1024〗^(-1/4) ) = ? What value should come in place of the question-mark (?) in the following questions:Solution
⇒ (〖(0.4)〗^(1/3) × 〖(1/64)〗^(1/4) × 〖16〗^(1/6) × 〖(0.256)〗^(2/3))/(〖(0.16)〗^(2/3) × 4^(-1/2) ×〖1024〗^(-1/4) ) ⇒ (4^(1/3)/〖10〗^(1/3) × 1/4^(3/4) × 4^(1/3) × 4^(8/3)/〖10〗^(4/3) )/(4^(4/3)/〖10〗^(2/3) × 4^(-1/2) × 4^2 × 4^(-5/4) ) ⇒ (4^(1/3)×〖10〗^(-1/3)× 4^(-3/4)×4^(1/3)×4^(8/3)×〖10〗^((-4)/3))/(4^(4/3) × 〖10〗^(-2/3)× 4^(-1/2) × 4^2 × 4^(-5/4) ) ⇒ (4^(1/3- 3/4+ 1/3+ 8/3) × 〖10〗^(-1/3-4/3))/(4^(4/3-1/2+ 2-5/4) × 〖10〗^(-2/3) ) ⇒ (4^(31/12) × 〖10〗^(-5/3))/(4^(19/12) × 〖10〗^(-2/3) ) ⇒ 4^(31/12- 19/12) × 〖10〗^(-5/3+ 2/3) ⇒ 4^(12/12) × 〖10〗^(-1) ⇒ 4/10 ⇒ 2/5
More Simplification Questions
- A series is given with one term missing. Choose the correct alternatives from the given ones that will complete the series.
57, 59, 56, 61, 54, ___ - Which letter-cluster will replace the question mark (?) in the following series?
NPQR, OORQ, PNSP, ____, RLUN - Which letter and number cluster will replace the question mark (?) to complete the given series?
LT6, KU12, IW24, FZ48, ____ - Select the number from among the given options that can replace the question mark (?) in the following series.
17, 18, 22, 31, 47, ___ - Which letter-cluster will replace the question mark (?) in the following series?
RGV, UME, ?, AYW, DEF
