Q.


[tex]1) \: \sf {3}^{22} \div {9}^{12} \times 27 = ...[/tex]
[tex]2) \sf \: {3}^{30} \div {27}^{11} \times 81 = ...[/tex]



Good Luck​

Q.


[tex]1) \: \sf {3}^{22} \div {9}^{12} \times 27 = ...[/tex]
[tex]2) \sf \: {3}^{30} \div {27}^{11} \times 81 = ...[/tex]



Good Luck​

[tex] = {3}^{22} \div {9}^{12} \times 27[/tex]

[tex] = {3}^{22} \div ( {3}^{2} )^{12} \times {3}^{3} [/tex]

[tex] = {3}^{22 - 24 + 3} [/tex]

[tex] = {3}^{1} = 3[/tex]

____________

[tex] = {3}^{30} \div {27}^{12} \times 81[/tex]

[tex] = {3}^{30} \div ({ {3}^{3} })^{11} \times {3}^{4} [/tex]

[tex] = {3}^{30 - 33 + 4} [/tex]

[tex] = {3}^{1} = 3[/tex]

___________

ありがとう!

No. 1

[tex]\bf {3}^{22} \div {9}^{12} \times 27 = {3}^{22} \div {( {3}^{2}) }^{12} \times { 3}^{3} \\ \bf = {3}^{22} \div {3}^{24} \times {3}^{3} = {3}^{22 - 24 + 3} = {3}^{1} = 3[/tex]

No. 2

[tex]\bf{3}^{30} \div {27}^{11} \times 81 = {3}^{30} \div { ({3}^{3} )}^{11} \times {3 }^{4} \\ \bf = {3}^{30} \div {3}^{33} \times {3}^{4} = {3}^{30 - 33 + 4} = {3}^{1} = 3[/tex]

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