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21-10-2021
Mathematics

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How do I calculate (⅔)³×(4/9)⁴ with powers properties?

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LammettHash LammettHash

21-10-2021

Notice that

4/9 = 2²/3² = (2/3)²

so that

(2/3)³ (4/9)⁴ = (2/3)³ ((2/3)²)⁴

… = (2/3)³ (2/3)⁸

… = (2/3)¹¹

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