Question

For a non-zero integer x, (x⁴)^–3 is equal to ______.

Options

• x¹²

• x^–12

• x⁶⁴

• x^–64

Answer 1

For a non-zero integer x, (x⁴)^–3 is equal to x^–12.

Explanation:

Using law of exponents,

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

Similarly, (x⁴)^–3 = (x)^{4 × (–3)} = (x)^–12