ruthrodi ruthrodi
  • 24-04-2020
  • Mathematics
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Simplify .(x^5/x^2)^2 Explain your steps.

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Hrishii
Hrishii Hrishii
  • 24-04-2020

Answer:

[tex] x ^6[/tex]

Step-by-step explanation:

[tex] \huge\bigg( \frac{ {x}^{5} }{ {x}^{2} } \bigg)^{2} \\ \\ \huge = ( {x}^{5 - 2} ) ^{2} \\ \\ \huge = ( {x}^{3} )^{2} \\ \\ \huge = {x}^{3 \times 2} \\ \\ \huge = {x}^{6} \\ \\ \huge \boxed{ \red{ \therefore \: \bigg( \frac{ {x}^{5} }{ {x}^{2} } \bigg)^{2}} \pink{ = } \purple{ {x}^{6} }}[/tex]

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