Mark (✓) against the correct answer

Question:

Mark (✓) against the correct answer

The value of (−3)−3 is

(a) −27

(b) 9

(C) $\frac{-1}{27}$

(d) $\frac{1}{27}$

 

Solution:

(c) $\frac{-1}{27}$

$(-3)^{-3}=\left(\frac{1}{-3}\right)^{3}$

$=\frac{1^{3}}{-3^{3}}$

$=\frac{1}{-27}$

$=\frac{1 \times-1}{-27 \times-1}$

$=\frac{-1}{27}$

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