Question

Which expression is equivalent to 60x^20y^24/30x^10y^12 ?

Answer 1

2x^(10)y^(12)

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Answer 2

The correct answer is 2X¹⁰Y¹²

Explanation:

Points to remember

identities

Xᵃ * Xᵇ = X⁽ᵃ⁺ᵇ⁾

Xᵃ/Xᵇ = X⁽ᵃ⁻ᵇ⁾

To find the equivalent to given expression

It is given that,

60X²⁰Y²⁴/30X¹⁰Y¹²

Using identities we can write,

60X²⁰Y²⁴/30X¹⁰Y¹² = (60/30) * (X²⁰/X¹⁰) * (Y²⁴/y¹²)

= 2 * X⁽²⁰ ⁻ ¹⁰⁾ * Y⁽²⁴ ⁻ ¹²⁾

= 2 * X¹⁰ * Y¹²

= 2X¹⁰Y¹²

The correct answer is 2X¹⁰Y¹²