Sederhanakan.
[tex]\begin{aligned}\sf a. \: \: {2}^{10} : {2}^{8} &=\sf {2}^{10 - 8} = {2}^{2} \end{aligned}[/tex]
[tex]\begin{aligned}\sf b. \: \: {3}^{8} : {3}^{ - 2} &=\sf {3}^{8- ( - 2)} = {3}^{10} \end{aligned}[/tex]
[tex]\begin{aligned}\sf c. \: \: 10: {100}^{ - 2} &=\sf {10}^{1} : {( {10}^{2}) }^{ - 2}\\ \sf &=\sf {10}^{1} : {10}^{ - 4} \\ \sf &= \sf {10}^{1 - ( - 4)} \\ \sf &=\sf {10}^{5} \end{aligned}[/tex]
[tex]\begin{aligned}\sf d. \: \: {3}^{3} \: . \: {3}^{ - 1} : {3}^{5} \: . \: {3}^{2} &=\sf {3}^{3 + ( - 1) - 5 + 2} \\ \sf &=\sf {3}^{3 - 1 - 5 + 2} \\ \sf &= \sf {3}^{ - 1} \\ \sf &=\sf \frac{1}{3} \end{aligned}[/tex]
[tex]\begin{aligned}\sf e. \: \: {6}^{5} \: . \: ( {6}^{2} : {6}^{3} ) &=\sf {6}^{5} \: . \: {6}^{2 - 3} \\ \sf &=\sf {6}^{5} \: . \: {6}^{ - 1} \\ \sf &= \sf {6}^{5 + ( - 1)} \\ \sf &=\sf {6}^{4} \end{aligned}[/tex]
[answer.2.content]
