Question
Express the following as a rational number:
$(-3)^{-1}\times\Big(\frac{1}{3}\Big)^{-1}$
$(-3)^{-1}\times\Big(\frac{1}{3}\Big)^{-1}$
✓
Answer
$(-3)^{-1}\times\Big(\frac{1}{3}\Big)^{-1}$
$=\Big(\frac{1}{-3}\Big)^{1}\times(3)^{1}$
$=\frac{-1}{3}\times3=-1$
$=\Big(\frac{1}{-3}\Big)^{1}\times(3)^{1}$
$=\frac{-1}{3}\times3=-1$
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