Explicație pas cu pas:
3 A)
[tex] {( {5}^{4} )}^{6} = {5}^{4 \times 6} = {5}^{24} [/tex]
B)
[tex] { ({7}^{8}) }^{3} = {7}^{8 \times 3} = {7}^{24} [/tex]
C)
[tex] {( {23}^{1} )}^{17} = {23}^{1 \times 17} = {23}^{17} [/tex]
E)
[tex] {( {( {3}^{2} )}^{3} )}^{4} = {3}^{2 \times 3 \times 4} = {3}^{24} [/tex]
F)
[tex] {( {( {8}^{5} )}^{3} )}^{6} = {8}^{5 \times 3 \times 6} = {8}^{90} [/tex]
G)
[tex] {( {( {13}^{5} )}^{6} )}^{4} = {13}^{5 \times 6 \times 4} = {13}^{120} [/tex]
4 A)
[tex] {(2 \times 7)}^{14} = {2}^{14} \times {7}^{14} [/tex]
B)
[tex] {(3 \times 5)}^{7} = {3}^{7} \times {5}^{7} [/tex]
C)
[tex] {(2 \times 3 \times 5)}^{23} = {2}^{23} \times {3}^{23} \times {5}^{23} [/tex]
E)
[tex] {3}^{4} \times {8}^{4} \times {5}^{4} = {(3 \times 8 \times 5)}^{4} [/tex]
F)
[tex] {2}^{15} \times {7}^{15} = {(2 \times 7)}^{15} [/tex]
G)
[tex] {(3 \times {(5 \times 7)}^{3} )}^{2} = {3}^{2} \times {5}^{3 \times 2} \times {7}^{3 \times 2} = {3}^{2} \times {5}^{6} \times {7}^{6} [/tex]
