Question

For a non-zero integer x, x⁷ ÷ x¹² is equal to ______.

Options

• x⁵ 

• x¹⁹ 

• x^–5

• x^–19 

Answer 1

For a non-zero integer x, x⁷ ÷ x¹² is equal to x^–5.

Explanation:

Using law of exponents, a^m ÷ aⁿ = (a)^{m – n}  ...[∵ A is non-zero integer]

Similarly, x⁷ ÷ x¹² = (x)^{7 – 12} = (x)^–5