Răspuns:
- [tex] \bf 22) \: \red{ \boxed{ {3}^{11} } } [/tex]
- [tex] \bf 23) \: \red{ \boxed{ {4}^{5} } } [/tex]
Explicație pas cu pas:
Salutare!
✧ Rezolvarea exercițiului 22 :
[tex] \bf {3}^{4} \times {3}^{6} + {3}^{3} \times {3}^{7} + {3}^{15} \div {3}^{5} = [/tex]
[tex] \bf {3}^{(4 + 6)} + {3}^{(3 + 7)} + {3}^{(15 - 5)} = [/tex]
[tex] \bf {3}^{10} + {3}^{10} + {3}^{10} = [/tex]
[tex] \bf {3}^{1} \times {3}^{10} = {3}^{(1 + 10)} = \red{ \boxed{ {3}^{11} } } [/tex]
✧ Rezolvarea exercițiului 23 :
[tex] \bf {4}^{10} \div {4}^{6} + {4}^{9} \div {4}^{5} + {4}^{8} \div {4}^{4} + {4}^{7} \div {4}^{3} = [/tex]
[tex] \bf {4}^{(10 - 6)} + {4}^{(9 - 5)} + {4}^{(8 - 4)} + {4}^{(7 - 3)} = [/tex]
[tex] \bf {4}^{4} + {4}^{4} + {4}^{4} + {4}^{4} = [/tex]
[tex] \bf {4}^{1} \times {4}^{4} = {4}^{(1 + 4)} = \red{ \boxed{ {4}^{5} } } [/tex]
