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AVprozaik [17]
4 years ago
11

Which expression is equivalent to ​

Mathematics
1 answer:
enot [183]4 years ago
4 0

Answer:

The correct answer is last option

x¹⁶y²²

Step-by-step explanation:

<u>Points to remember</u>

<u>Identities</u>

Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾

Xᵃ/Xᵇ = X⁽ᵃ ⁻ ᵇ⁾

(Xᵃ)ᵇ = Xᵃᵇ

<u>To find the correct answer </u>

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

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