Q52 of 111 Page 337

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

According to law of indices:

a^m × b^m = (ab)^m

Here in the question,

a = x

b = y

x^m × y^m = (x × y)^m

So the statement is false.

State whether the given statements are True or False.

4² is greater than 2⁴.

State whether the given statements are True or False.

x^m + x^m = x^2m, where x is a non-zero rational number and m is a positive integer.

State whether the given statements are True or False.

x^m ÷ y^m = (x ÷ y)^m, where x and y are non-zero rational numbers and m is a positive integer.

State whether the given statements are True or False.

x^m × xⁿ = x^{m + n}, where x is a non-zero rational number and m,n are positive integers.

State whether the given statements are True or False.xm × ym = (x × y)2m, where x and y are non-zero rational numbers and m is a positive integer.