Răspuns:
Salutare!
[tex] \bf a) \: {2}^{8} \times {3}^{8} = ( {2 \times 3)}^{8} = \red{ \boxed{ {6}^{8} } }[/tex]
[tex] \bf b) \: {5}^{32} \times {6}^{32} = {(5 \times 6)}^{32} = \blue{ \boxed{ {30}^{32} } } [/tex]
[tex] \bf c) \: {4}^{103} \times {5}^{103} = {(4 \times 5)}^{103} = \green{ \boxed{ {20}^{103} } } [/tex]
[tex] \bf d) \: {7}^{56} \times {2}^{56} = {(7 \times 2)}^{56} = \purple{ \boxed{ {14}^{56} } } [/tex]
[tex] \bf e) \: {14}^{33} \times {15}^{33} = {(14 \times 15)}^{33} = \orange{ \boxed{ {210}^{33} } } [/tex]
[tex] \bf f) \: {9}^{213} \times {10}^{213} = {(9 \times 10)}^{213} = \gray{ \boxed{ {90}^{213} } } [/tex]
[tex] \bf g) \: {4}^{5} \div {2}^{5} = {(4 \div 2)}^{5} = \red{ \boxed{ {2}^{5} } } [/tex]
[tex] \bf h) \: {6}^{11} \div {3}^{11} = {(6 \div 3)}^{11} = \blue{ \boxed{ {2}^{11} } } [/tex]
[tex] \bf i) \: {8}^{201} \div {4}^{201} = {(8 \div 4)}^{201} = \green{ \boxed{ {2}^{201} } } [/tex]
[tex] \bf j) \: {6}^{13} \div {2}^{13} = {(6 \div 2)}^{13} = \purple{ \boxed{ {3}^{13} } } [/tex]
[tex] \bf k) \: {10}^{11} \div {25}^{11} = {(10 \div 25)}^{11} = \orange{ \boxed{ {0.4}^{11} } } [/tex]
[tex] \bf l) \: {100}^{100} \div {25}^{100} = {(100 \div 25)}^{100} = \gray{ \boxed{ {4}^{100} } } [/tex]
❋ Formule folosite pentru efectuarea acestor calcule:
- [tex] \red{ \boxed{ {a}^{m} \div {b}^{m} = {(a \div b)}^{m}}} [/tex]
- [tex] \red{ \boxed{ {a}^{m} \times {b}^{m} = {(a \times b)}^{m}}} [/tex]
