x^m × y^m = (x × y)^2m, where x and y are non-zero rational numbers and m is a positive integer. State whether the given statement is true or false

Solution:

Given, x and y are non-zero rational numbers

m is a positive integer

x^m × y^m = (x × y)^2m

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

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^m × b^m = (a×b)^m

LHS: considering x^m × y^m,

x^m × y^m = (x × y)^m

RHS = (x × y)^2m

LHS ≠ RHS

So, x^m × y^m ≠ x^m × y^m

Therefore, the given statement is false.

✦ Try This: g^m × h^m = (g × h)^2m, where g and h are non-zero rational numbers and m is a positive integer. State whether the given statement is true or false

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

NCERT Exemplar Class 7 Maths Chapter 11 Problem 52

x^m × y^m = (x × y)^2m, where x and y are non-zero rational numbers and m is a positive integer. State whether the given statement is true or false

Summary:

The given statement,”x^m × y^m = (x × y)^2m, where x and y are non-zero rational numbers and m is a positive integer” is false

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