Question

Mark (✓) against the correct answer
The value of (−3)⁻³ is
(a) −27
(b) 9
(c) $\frac{-1}{27}$
(d) $\frac{1}{27}$

Answer 1

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

$$\begin{gathered} {\left(-3\right)}^{-3}={\left({\displaystyle \frac{1}{-3}}\right)}^3 \\ =\frac{1^3}{-3^3} \\ =\frac{1}{-27} \\ =\frac{1\times -1}{-27\times -1} \\ =\frac{-1}{27} \end{gathered}$$