For a non zero rational number a,

Question:

For a non zero rational number a, (a3)−2 is equal to

(a) a9

(b) a−6

(c) a−9

(d) a1

Solution:

(b) a−6

We have:

$\left(a^{3}\right)^{-2}=a^{3 \times(-2)} \quad \ldots\left(\left(a^{m}\right)^{n}=a^{m \times n}\right)$

$a^{-6 \mid}$

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