Math, asked by chithra21, 7 months ago

simplify x⁵÷(x 2 × y²) × y³

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Answered by Jiyaa021

3

Answer: x³.y²

Step-by-step explanation:

[(xy)²]² × x³ y³ ÷ x⁴ y⁵ [∵ (xy)ᵃ = xᵃ.yᵃ]

= x⁴y⁴ × x³y³ ÷ x⁴y⁵

= x⁴x³× y⁴y³ ÷ x⁴y⁵

= x⁴ ⁺ ³. y⁴ ⁺ ³ ÷ x⁴y⁵ [xᵃ.xᵇ = xᵃ ⁺ ᵇ]

= x⁷y⁷ ÷ x⁴y⁵

= x⁷ ⁻ ⁴. y⁷ ⁻ ⁵ [ ∵ xᵃ/xᵇ = xᵃ ⁻ ᵇ ]

= x³.y²

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Answered by Anonymous

1

Answer:

simplify x⁵÷(x 2 × y²) × y³

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