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PilotLPTM [1.2K]
3 years ago
9

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

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

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}  \\

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