Question

пожалуйста помогитееее!!!!
только 4!!

Answer 1

1)

${a}^{21} \times {( {a}^{4} )}^{3} \div {( {a}^{3} )}^{10} = {a}^{21} \times {a}^{4 \times 3} \div {a}^{3 \times 10} = {a}^{21} \times {a}^{12} \div {a}^{30} = {a}^{21 + 12 - 30} = {a}^{3}$

2)

${( {b}^{6} )}^{4} \div {( {b}^{7} )}^{3} \times {( {b}^{2} )}^{3} = {b}^{6 \times 4} \div {b}^{7 \times 3} \times {b}^{2 \times 3} = {b}^{24} \div {b}^{21} \times {b}^{6} = {b}^{24 - 21 + 6} = {b}^{9}$

3)

${(x {y}^{3} )}^{7} \times {( {x}^{6} {y}^{4} )}^{8} \div ( {x}^{24} {y}^{32} ) = {x}^{1 \times 7} {y}^{3 \times 7} \times {x}^{6 \times 8} {y}^{4 \times 8} \div ( {x}^{24} {y}^{32} ) = {x}^{7} {y}^{21} \times {x}^{48} {y}^{32} \div ( {x}^{24} {y}^{32} ) = {x}^{7 + 48 - 24} {y}^{21 + 32 - 32} = {x}^{31} {y}^{21}$

4)

${x}^{5} {y}^{8} \times {(xy)}^{5} \div {( {x}^{5} {y}^{3} )}^{2} = {x}^{5} {y}^{8} \times {x}^{5} {y}^{5} \div {x}^{5 \times 2} {y}^{3 \times 2} = {x}^{5 + 5} {y}^{8 + 5} \div {x}^{10} {y}^{6} = {x}^{10} {y}^{13} \div {x}^{10} {y}^{6} = {x}^{10 - 10} {y}^{13 - 6} = {x}^{0} {y}^{7} = {y}^{7}$