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Sagot :
Step-by-step explanation:
1) 3^5 × 3^3 = 3^(5+3) = 3^8
=> 3^5 × 3^3 = 3^8
2) 3^3 × 5^3 = (3×5)^3 = 15^3
=> 3^3 × 5^3 < 15^5
3) 3^5 × 5^3 = 3^2×(3^3 × 5^3)
= 3^2 × 15^3 = 9×15^3
=> 3^5 × 5^3 > 15^3
Answer:
- =
- <
Step-by-step explanation:
1)
3⁵ × 3³ ..... 3⁸
= 3^{5+3} .... 3⁸
= 3⁸ ..... 3⁸
= 3⁸ = 3⁸
2)
3³ × 5³ ..... 15⁵
= (3 × 5)³ ..... 15⁵
= 15³ ..... 15⁵
= 15³ < 15⁵
3)
3⁵ × 5³ ..... 15³
= 3² × (3³ × 5³) ..... 15³
= 3² × ((3 × 5)³) ..... 15³
= 3² × 15³ ..... 15³
= 6 × 3375 ..... 3375
= 20250 ..... 3375
= 3⁵ × 5³ > 15³
Conclusion:
- 3⁵ × 3³ = 3⁸
- 3³ × 5³ < 15⁵
- 3⁵ × 5³ > 15³
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