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Question
Let x and y be natural numbers. If x divides y, then x3 divides y3.
Options
True
False
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Solution
This statement is True.
Explanation:
If x divides y, then `y/x` is a natural number.
⇒ `(y/x)^3` is also a natural number.
⇒ `y^3/x^3` is a natural number.
⇒ x3 divides y3.
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