COMEDK2018MathematicsBasics of Mathematics
The value of (0.2) _ 5 ( 1 4 + 1 8 + 1 16 + ) is
Options
- A4
- B1 4
- C2
- D1 2
Correct answer
A. 4
Step-by-step solution
(0.2)=(0.2) _ 5 1 / 4 1- 1 2 =(0.2)^ _ 5 ( 1 2 ) = ( 1 5 )^ _ 5 ( 1 2 ) = ( 1 2 )^ 2 ₅ 1 5 = 1^ -2 ₅ 5 2 = ( 1 2 )⁻²= (2⁻¹ )⁻²=2²=4