Let x and y be natural numbers. If x divides y, then x³ divides y³. State whether the statement is true or false.

Solution:

Given, x and y be natural numbers

If x divides y, then x³ divides y³

We have to determine if the given statement is true or false.

x divides y can be written as (y/x)

On cubing,

(y/x)³ = y³/x³

Now, x³ divides y³ can be written as y³/x³

Therefore, the given statement is true.

✦ Try This: Let x and y be natural numbers. If x divides y, then x² divides y². State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

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NCERT Exemplar Class 8 Maths Chapter 3 Problem 69

Let x and y be natural numbers. If x divides y, then x³ divides y³. State whether the statement is true or false

Summary:

The given statement, ”Let x and y be natural numbers. If x divides y, then x³ divides y³” is true.

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