Question

Simplify and Show your work

Answer 1

1.
`\frac{ 5( {4x}^(3) {y}^(2) ) ^(3)}{( {4x}^(5) {y}^(3)) ^(4) } \\ = \frac{5 * {4}^(3) * {x}^(3 * 3) * {y}^(2 * 3) }{ {4}^(4) * {x}^(5 * 4) * {y}^(3 * 4) } \\ = \frac{5 * 64 * {x}^(9) * {y}^(6) }{256 * {x}^(20) * {y}^(12) } \\ = \frac{320 {x}^(9) {y}^(6) }{256 {x}^(20) {y}^(12) } \\ = \frac{5 {x}^(9 - 20) {y}^(6 - 12) }{4} \\ = \frac{5}{4 {x}^(11) {y}^(6) }`

2.
`{3}^(5x - 4) = {9}^(2x + 12) \\ = > {3}^(5x - 4) = {3}^(2(2x + 12)) \\ = > {3}^(5x - 4) = {3}^(4x + 24) \\ = > 5x - 4 = 4x + 24 \\ = > 5x - 4x = 24 + 4 \\ = > x = 28`

Hope you could understand.

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