Answer:
The correct answer is last option
x¹⁶y²²
Explanation:
Points to remember
Identities
Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾
Xᵃ/Xᵇ = X⁽ᵃ ⁻ ᵇ⁾
(Xᵃ)ᵇ = Xᵃᵇ
To find the correct answer
It is given an expression {X⁶Y⁸}³/X²Y²
By using identities we can write,
{X⁶Y⁸}³/X²Y² = X⁶ˣ³ Y⁸ˣ³/X²Y²
= X¹⁸Y²⁴/X²Y²
= X⁽¹⁸ ⁻ ²⁾ * Y⁽²⁴ ⁻ ²⁾
= X¹⁶Y²²
Therefore the correct answer is last optionX¹⁶Y²²