x^m × xⁿ = x^{m + n}, where x is a non-zero rational number and m,n are positive integers. State whether the given statement is true or false

Solution:

Given, x is a non-zero rational number

m and n are positive integers

x^m × xⁿ = x^{m + n}

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 × aⁿ = a^m+n

Here, a = x

Now, a^{m + n} = x^{m + n}

So, x^m × xⁿ = x^{m + n}

Therefore, the given statement is true.

✦ Try This: p^m ÷ q^m = (p ÷ q)^m, where p and q 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 54

x^m × xⁿ = x^{m + n}, where x is a non-zero rational number and m,n are positive integers. State whether the given statement is true or false

Summary:

The given statement,”x^m × xⁿ = x^{m + n}, where x is a non-zero rational number and m,n are positive integers” is true

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