а)
[tex] {m}^{3} {m}^{2} = {m}^{3 + 2} = {m}^{5} [/tex]
б)
[tex] {x}^{5} \div x = {x}^{5 - 1} = {x}^{4} [/tex]
в)
[tex]( {y}^{2} ) ^{7} = {y}^{2 \times 7} = {y}^{14} [/tex]
г)
[tex] { {(a}^{10} )}^{3} \times { {(a}^{5} })^{4} = {a}^{10 \times 3} \times {a}^{5 \times 4} = {a}^{30} {a}^{20} = {a}^{30 + 20} = {a}^{50} [/tex]
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Answers & Comments
а)
[tex] {m}^{3} {m}^{2} = {m}^{3 + 2} = {m}^{5} [/tex]
б)
[tex] {x}^{5} \div x = {x}^{5 - 1} = {x}^{4} [/tex]
в)
[tex]( {y}^{2} ) ^{7} = {y}^{2 \times 7} = {y}^{14} [/tex]
г)
[tex] { {(a}^{10} )}^{3} \times { {(a}^{5} })^{4} = {a}^{10 \times 3} \times {a}^{5 \times 4} = {a}^{30} {a}^{20} = {a}^{30 + 20} = {a}^{50} [/tex]