Xm + Xm = X2m , Where X Is A Non-zero Rational Number And M Is A ...

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xm + xm = x2m , where x is a non-zero rational number and m is a positive integer. State whether the given statement is true or false

Solution:

Given, x is a non-zero rational number

m is a positive integer

xm + xm = x2m

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

LHS: Considering xm + xm,

xm + xm = xm (1 + 1)

= 2xm

RHS = x2m

LHS ≠ RHS

So, xm + xm ≠ x2m

Therefore, the given statement is false.

✦ Try This: bm + bm = b2m , where b is a non-zero rational number 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 51

xm + xm = x2m , where x is a non-zero rational number and m is a positive integer. State whether the given statement is true or false

Summary:

The given statement,”xm + xm = x2m , where x is a non-zero rational number and m is a positive integer” is false.

☛ Related Questions:

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xm × xn = xm + n, where x is a non-zero rational number and m,n are positive integers. State whether . . . .

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