Explicație pas cu pas:
a)
[tex] {5}^{30} = { {(5}^{3}) }^{10} = {125}^{10} \\ {7}^{20} = { ({7}^{2}) }^{10} = {49}^{10} [/tex]
b)
[tex] {( \frac{1}{5}) }^{24} = {(( { \frac{1}{5}) }^{2}) }^{12} = {( \frac{1}{25} )}^{12} \\ { (\frac{2}{3} )}^{36} = {(( { \frac{2}{3}) }^{3}) }^{12} = { (\frac{8}{27}) }^{12} [/tex]
c)
[tex]( { \frac{1}{7}) }^{28} = (( { { \frac{1}{7}) }^{4}) }^{7} = ( { \frac{1}{2401}) }^{7} \\ ( { \frac{3}{4}) }^{21} = (( { \frac{3}{4}) {}^{3} ) }^{7} = {( \frac{27}{64}) }^{7} [/tex]
