Question

For a non-zero rational number z, (z^–2)³ is equal to ______.

पर्याय

• z⁶

• z^–6

• z¹

• z⁴

Answer 1

For a non-zero rational number z, (z^–2)³ is equal to z^–6.

Explanation:

Using law of exponents,

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

Similarly, (z^–2)³ = (z)^{(–2) × 3} = (z)^–6