Question

Plz help me with this sum, see the pic. Thank you

Answer 1

Answer:

${5}^{8} {x}^{6}$

Step-by-step explanation:

$\bigg( \frac{125 {x}^{ - 3} }{ {5}^{ - 3} \times 25 \times {x}^{ - 6} } \bigg)^{2} \\ \\ = \bigg( \frac{ {5}^{3} {x}^{ - 3} }{ {5}^{ - 3} \times {5}^{2} \times {x}^{ - 6} } \bigg)^{2} \\ \\ = {( {5}^{3 + 3 - 2} {x}^{ - 3 + 6} })^{2} \\ = {( {5}^{6 - 2} {x}^{3} )}^{2} \\ = {( {5}^{4} {x}^{3}) }^{2} \\ = {5}^{4 \times 2} {x}^{3 \times 2} \\ = {5}^{8} {x}^{6}$