Explicație pas cu pas:
a)
[tex] {( {2}^{4} )}^{7} - {2}^{28} = {2}^{4 \times 7} - {2}^{28} = {2}^{28} - {2}^{28} = \bf 0 \\ [/tex]
b)
[tex]{( {3}^{5} )}^{4} : {3}^{19} = {3}^{5 \times 4} : {3}^{19} = {3}^{20} : {3}^{19} = {3}^{20 - 19} = {3}^{1} = \bf 3 \\ [/tex]
c)
[tex]{( {5}^{8} )}^{7} : ( {5}^{53} \times 5) = {5}^{8 \times 7} : {5}^{53 + 1} = {5}^{56} : {5}^{54} = {5}^{56 - 54} = {5}^{2} = \bf 25 \\ [/tex]
d)
[tex]{( {7}^{7} )}^{7} : ( {7}^{77} : {7}^{7 \times 5}) = {7}^{7 \times 7} : {7}^{77 - 35} = {7}^{49} : {7}^{42} = {7}^{49 - 42} = \bf {7}^{7} \\[/tex]
e)
[tex]{( {13}^{8} )}^{13} : {( {13}^{26} )}^{4} = {13}^{8 \times 13} : {13}^{26 \times 4} = {13}^{104 - 104} = {13}^{0} = \bf 1 \\ [/tex]
f)
[tex]{7}^{ {13}^{2} } : {( {7}^{42} )}^{4} = {7}^{169} : {7}^{42 \times 4} = {7}^{169 - 168} = {7}^{1} = \bf 7 \\ [/tex]
g)
[tex]{2}^{ {7}^{2} } : {( {2}^{8} )}^{6} = {2}^{49} : {2}^{8 \times 6} = {2}^{49 - 48} = {2}^{1} = \bf 2 \\ [/tex]
h)
[tex]{3}^{ {8}^{2} } : {3}^{ {4}^{3} } = {3}^{64} : {3}^{64} = {3}^{64 - 64} = {3}^{0} = \bf 1 \\ [/tex]
