Question

Please solve all with explanation

Answer 1

1.
`(x^2)/(y^8)`

2 a)
`(-49)/(2)`

b) 0

3. x = 10

Explanation:

1.

`((x^(-3)y^4)/(x^(-2)))^(-2)\\({x^(-3+2)y^4})^(-2)\\({x^(-1)y^4})^(-2)({x^(-1*-2)y^(4*-2))= (x^2)/(y^8)`

2. a)

`2 [((-1)/(4)) -12 (-1)^2] - 5[24 +2 (-12)]^2\\2[((-1)/(4)) -12] - 5[24 -24]^2\\2 * [((-1)/(4)) -12] -0\\(-49)/(2)`

b)

`-a^2b^2 - 3a^3b^2\\-(1)/(9)*1 - 3 * (-1)/(27) *1\\-(1)/(9) + (1)/(9)\\0`

3.

`(3)/(4)x + (5)/(6) = 5x -(125)/(3) \\(5)/(6) + (125)/(3) = 5x - (3)/(4)x\\(5+250)/(6) = (20x -3x)/(4)\\(255)/(6) = (17x)/(4)\\x = 10`