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Answer :
Final answer:
The rule (a/b)ⁿ = aⁿ/bⁿ is used to explain that the fraction (4/5)⁶ is equivalent to 4⁶/5⁶, thus option A: 4⁶/5⁶ is correct.
Explanation:
The question is asking us to determine which of the given options is equal to the fraction (4/5)⁶. Raising a fraction to a power means raising both its numerator and denominator to that power. The property (a/b)ⁿ = aⁿ/bⁿ is a rule in mathematics and it is applicable to any real numbers a and b (b ≠ 0) and any integer n.
From this rule, we can say that (4/5)⁶ means (4⁶/5⁶). Applying this rule, we see that option A. 4⁶/5⁶ mirrors our calculation and is therefore the equal fraction to (4/5)⁶.
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