Question

Which expression is equivalent?

Answer 1

y⁸/x¹⁰

`\\`

Explanation:

`\sf{\large{( \frac{ {x}^( - 4)y }{ {x}^( - 9) {y}^(5) } ) ^(2) }}`

`\large{ \sf{= \frac{ {x}^( - 4 * 2) {y}^(2) }{ {x}^( - 9 * 2) {y}^(5 * 2) } }}`

`\large{ \sf{= \frac{ {x}^( - 8) {y}^(2) }{ {x}^( - 18) {y}^(10) } }}`

`\large{ \sf{ = {x}^( - 8 - ( - 18)) {y}^(2 - 10) }}`

`\large{ \sf{ = {x}^( - 8 + 18) {y}^( - 8) }}`

`\large{ \sf{ = {x}^(10) {y}^( - 8) }}`

`\large{ \sf{ = \frac{ {x}^(10) }{ {y}^(8) } }}`

`\large{ \sf{ = \frac{ {y}^(8) }{ {x}^(10) } }}`