Answer:
[tex] {5}^{8} {x}^{6} [/tex]
Step-by-step explanation:
[tex] \bigg( \frac{125 {x}^{ - 3} }{ {5}^{ - 3} \times 25 \times {x}^{ - 6} } \bigg)^{2} \\ \\ = \bigg( \frac{ {5}^{3} {x}^{ - 3} }{ {5}^{ - 3} \times {5}^{2} \times {x}^{ - 6} } \bigg)^{2} \\ \\ = {( {5}^{3 + 3 - 2} {x}^{ - 3 + 6} })^{2} \\ = {( {5}^{6 - 2} {x}^{3} )}^{2} \\ = {( {5}^{4} {x}^{3}) }^{2} \\ = {5}^{4 \times 2} {x}^{3 \times 2} \\ = {5}^{8} {x}^{6} \\ [/tex]
