Answer:
The correct answer is second option option
9¹/⁸ ˣ
Explanation:
Points to remember
Identities
ᵃ√x = = x¹/ᵃ
√x = x¹/²
(xᵃ)ᵇ = xᵃᵇ
To find the correct option
It s given that,
(⁴√9)¹/² ˣ
By using the above identities we can write,
(⁴√9)¹/²ˣ = (9¹/⁴)¹/²ˣ [ since ⁴√9 = 9¹/⁴]
= 9⁽¹/⁴ * ¹/²⁾ ˣ
= 9¹/⁸ ˣ
Therefore the correct answer is second option option
9¹/⁸ ˣ