Tick (✓) the correct answer

Question:

Tick (✓) the correct answer

The value of $(-3)^{-4}$ is

(a) 12

(b) 81

(c) $-\frac{1}{12}$

(d) $\frac{1}{81}$

Solution:

(d) $\frac{1}{81}$

$(-3)^{-4}=\frac{1}{(-3)^{4}}=\frac{1}{(-1)^{4} \times(3)^{4}}=\frac{1}{(3)^{4}}=\frac{1}{81}$

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