Question

  please let me know the answer​

Answer 1

(i)

${11}^{6} \div {11}^{4 - x} = {11}^{8} \\ \frac{ {11}^{6} }{ {11}^{4 - x} } = {11}^{8} \\ {11}^{4 - x} = \frac{ {11}^{6} }{ {11}^{8} } \\ {11}^{4 - x} = {11}^{ - 2} \\ ∴4 - x = - 2 \\ ∴x = 4 + 2 = 6$

(ii)

${( - 3)}^{x - 2} = - 243 \\ {( - 3)}^{x - 2} = {( - 3)}^{5} \\ ∴x - 2 = 5 \\ ∴x = 5 + 2 = 7$

Answer 2

Answer:

$(i) \: \frac{ {(11)}^{6} }{ {(11)}^{4 - x} } = {11}^{8} \\ \\ = > {(11)}^{6 - 4 + x} = {(11)}^{8} \\ \\ = > 2 + x = 8 \\ \\ = > x = 6 \\ \\ (ii) \: \: {( - 3)}^{x - 2} = {( - 3)}^{5} \\ \\ = > x - 2 = 5 \\ \\ = > x = 7$