Tick (✓) the correct answer

Question:

Tick (✓) the correct answer

The value of $(-2)^{-5}$ is

(a) $-32$

(b) $\frac{-1}{32}$

(c) 32

(d) $\frac{1}{32}$

Solution:

(b) $\frac{-1}{32}$

$(-2)^{-5}=\frac{1}{(-2)^{5}}=\frac{1}{-32}=\frac{1 \times(-1)}{-32 \times(-1)}=\frac{-1}{32}$

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