If a and b are real numbers with a-b=1, what is the least possible value of a^5-b^5? Express your answer as a common fraction

Question

Mathematics

Gracie Hendrix

12 April, 16:54

If a and b are real numbers with a-b=1, what is the least possible value of a^5-b^5? Express your answer as a common fraction

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Answers (1)

Know the Answer?

Aidyn Ashley · Answer 1

781/243

Step-by-step explanation:

a - b = 1

Assuming a = 4/3 and b = 1/3

a - b = 4/3 - 1/3 = 3/3 = 1

a^5 = (4/3) ^5 = 1024/243

b^5 = (1/3) ^5 = 1/243

a^5 - b^5 = 1024/243 - 1/243 = (1024 - 243) / 243 = 781/243