Which expression is equivalent to 

The correct answer is last option

x¹⁶y²²

Step-by-step 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

good luck on ur quiz test or homework. have a good day : )