alwaysonfleek348 alwaysonfleek348

26-02-2020
Mathematics

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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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princessesther2011 princessesther2011

27-02-2020

Answer:

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

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