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Home > past-papers-math > Question

If x²y³=10 and x³y²=8, find the value of x⁵y⁵?

0
A) 40
B) 100
C) 80
D) 60

Correct Answer: C) 80

SMART TRICK: Jab powers (exponents) ko add karna ho, toh equations ko multiply kiya jata hai. Yahan hamein x⁵y⁵ chahiye. Agar hum di gayi dono terms ko multiply karein: (x²y³) × (x³y²). Exponent rule ke mutabiq same base ki powers add ho jati hain: x² * x³ = x⁵ aur y³ * y² = y⁵. Tou inka product direct x⁵y⁵ ban jata hai. Ab inki values ko multiply karein: 10 × 8 = 80. Correct answer (C) 80 hai.

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