Răspuns:
[tex]\bf {5}^{10}[/tex]
Explicație pas cu pas:
Salutare
[tex] \bf {5}^{11} - (6 \cdot {5}^{10} - 2 \cdot {5}^{10}) = [/tex]
[tex] \bf {5}^{11} - {5}^{10} \cdot(6 \cdot {5}^{10 - 10} - 2 \cdot {5}^{10 - 10}) = [/tex]
[tex] \bf {5}^{11} - {5}^{10} \cdot(6 \cdot {5}^{0} - 2 \cdot {5}^{0}) = [/tex]
[tex]\bf {5}^{11} - {5}^{10} \cdot(6 \cdot 1 - 2 \cdot 1) = [/tex]
[tex]\bf {5}^{11} - {5}^{10} \cdot 4 = [/tex]
[tex]\bf {5}^{10} \cdot( {5}^{11 - 10} - {5}^{10 - 10} \cdot 4) = [/tex]
[tex]\bf {5}^{10} \cdot( {5}^{1} - {5}^{0} \cdot 4) = [/tex]
[tex]\bf {5}^{10} \cdot( 5- 1 \cdot 4) = [/tex]
[tex]\bf {5}^{10} \cdot( 5- 4) = [/tex]
[tex]\bf {5}^{10} \cdot1= [/tex]
[tex] \boxed{\bf {5}^{10}}[/tex]
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