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help me order the expressions ! will mark brainliest ! spammers will be reported.

Help Me Order The Expressions Will Mark Brainliest Spammers Will Be Reported class=

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Ferrybukantoroid

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

UserIndonesiaid

Answer:

  1. =
  2. <

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:

  1. 3⁵ × 3³ = 3⁸
  2. 3³ × 5³ < 15⁵
  3. 3⁵ × 5³ > 15³

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