Matematika

Pertanyaan

tolong bantu no 7 sampai 10 beserta jalan nya

7.
[tex]2 \: {a}^{5} \times \: {2}^{4} \: {a}^{2} = [/tex]
8.
[tex] {a}^{3} \: {b}^{5} \: \div {a}^{2} \: {b}^{3} = [/tex]
9.
[tex] \frac{ {a}^{11} }{ {a}^{2} } \frac{ {b}^{10} }{ {b}^{5} } \: \times {a}^{4} [/tex]
tolong bantu no 7 sampai 10 beserta jalan nya 7. [tex]2 \:  {a}^{5}  \times  \:  {2}^{4}  \: {a}^{2}  = [/tex] 8. [tex] {a}^{3}  \:  {b}^{5}  \:  \div  {a}^{2}

1 Jawaban


  • [tex]7. \\ 2 {a}^{5} \times {2}^{4} {a}^{2} \\ = {2}^{1 + 4} {a}^{5 + 2} \\ = {2}^{5} {a}^{7} \\ \\ 8. \\ {a}^{3} {b}^{5} \div {a}^{2} {b}^{3} \\ = {a}^{3 - 2} {b}^{5 - 3} \\ = a {b}^{2} \\ \\ 9. \\ \frac{ {a}^{11} {b}^{10} }{ {a}^{2} {b}^{5} } \times {a}^{4} \\ = {a}^{11 - 2} {b}^{5} \times {a}^{4} \\ = {a}^{9 + 4} {b}^{5} \\ = {a}^{13} {b}^{5} \\ \\ 10. \\ { (\frac{ab}{4} )}^{2} \times \frac{2 {a}^{5} {b}^{2} }{ {a}^{4} } \\ = \frac{ {a}^{2} {b}^{2} }{ {( {2}^{2} )}^{2} } \times 2 {a}^{5 - 4} {b}^{2} \\ = \frac{ {a}^{2} {b}^{2} }{ {2}^{4} } \times 2a {b}^{2} \\ = {a}^{2 + 1} {b}^{2 + 2} {2}^{1 - 4} \\ = {a}^{3} {b}^{4} {2}^{ - 3} \\ = \frac{ {a}^{3} {b}^{4} }{ {2}^{3} } [/tex]