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22 votes
22 votes
(2/3) × (2/3) × (2/3)​

User Shekinah
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2 Answers

24 votes
24 votes

Final answer:

The operation (2/3) × (2/3) × (2/3) is the cubing of the fraction 2/3, resulting in (2^3)/(3^3) or 8/27. It exemplifies the multiplication of fractions and the principle of exponentiation.

Step-by-step explanation:

The student is performing a mathematical operation involving the cubing of a fraction. Specifically, the question asks to calculate the cube of the fraction (2/3), which means to multiply the fraction by itself three times: (2/3) × (2/3) × (2/3). To do this, we apply the rules for multiplication of fractions: multiply the numerators together and multiply the denominators together. Thus, the calculation becomes (2 × 2 × 2)/(3 × 3 × 3) = 8/27. This outcome demonstrates the process of exponentiation of fractions, where (a/b)^n = a^n / b^n.

User Yash Jagdale
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3.1k points
8 votes
8 votes

Answer:

8/27

Step-by-step explanation:

User Sachy
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2.2k points