Answer:
Let the number be x \[{{(-8)}^{-3}}\times x={{(-6)}^{-3}}\] \[{{\left( \frac{1}{-8} \right)}^{3}}\times x={{\left( \frac{1}{-6} \right)}^{3}}\] \[-\frac{1}{512}\times x=-\frac{1}{216}\] \[x=\frac{512}{216}\] \[x=\frac{64}{27}\] \[x={{\left( \frac{4}{3} \right)}^{3}}\] \[x={{\left( \frac{3}{4} \right)}^{-3}}\]
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