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Answer :
Final answer:
The expression (4/5)⁶ is equivalent to 4⁶/5⁶. This is because when a fraction is raised to a power, both the numerator and the denominator are raised to that power.
Explanation:
The question is asking which of the following is equal to (4/5)⁶. From the multiplication rules for fractions and exponents, we know that a fraction to a power is equal to each term raised to that power, therefore, (4/5)⁶ is equivalent to 4⁶/5⁶ (option B).
Let's see why, you basically have to multiply the fraction 4/5 by itself six times. Essentially, you'll have 4*4*4*4*4*4 for the numerator and the same multiplication for the denominator with 5's, so it can be written as 4⁶/5⁶.
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