Question

If x be any non-zero integer and m, n be negative integers, then x^m × xⁿ is equal to ______.

Options

• x^m 

• x^m+n

• xⁿ

• x^m–n

Answer 1

If x be any non-zero integer and m, n be negative integers, then x^m × xⁿ is equal to x^m+n.

Explanation:

Using law of exponents,

a^m × aⁿ = (a)^{m + n}  ...[∵ a is non-zero integer]

Similarly, x^m × xⁿ = (x)^{m + n}