Question

Ajutor!! ;(
$( {6}^{7} - 7 \times ( {6}^{6} + {6}^{5} - {6}^{4} + {6}^{3} - {6}^{2} + 6 ) - 7)^{1995}$
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Answer 1

Răspuns:

Explicație pas cu pas:

[6⁷-7·(6⁶+6⁵-6⁴+6³-6²+6)-7]¹⁹ =

= {6⁷-7·[6³·(6³+6²+6⁰)-6·(6³+6²+6⁰)]-7}¹⁹ =

=  {6⁷-7·[(6³+6²+1)·(6³-6)]-7}¹⁹ =

= {6⁷-7 ·(216+36+1)·210-7}¹⁹ =

= {6⁷-7·253·210-7}¹⁹

= (279936-371910-7)¹⁹ =

= -91981¹⁹