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  • 14-08-2017
  • Mathematics
contestada

Simplify 6 to the 5th over 7 to the 3rd all raised to the 2nd power

Respuesta :

Аноним Аноним
  • 22-08-2017
Note that
[tex](x^{a})^{b} = x^{ab} \\ x^{a+b}=x^{a}.x^{b}[/tex]

Therefore
[tex]( \frac{6^{5}}{7^{3}} )^{2} \\= \frac{6^{10}}{7^{6}} \\ = \frac{6^{6}.6^{4}}{7^{6}} \\ =6^{4}( \frac{6}{7})^{6} \\ = 1296( \frac{6}{7} )^{6}[/tex]

Answer: [tex]1296( \frac{6}{7} )^{6}[/tex]

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