Question

Simplifies the expressions please!!!!!!!!

4x^3y^2 x 3x^6y^3/24x^11y^2

(3rs^2t^4)^2/21r^2s^3t^11

(10a^4b^6)(3a^5b^2) -7a^9b^8

(-5x^4y^7)^2 + 9x^8y^14

20 POINTS!!!!!

Answer 1

In order:

`(y^(3))/(2x^(2))`

`(9r^2s)/(2t^(3))`

`23a^9b^8`

`34x^8y^(14)`

Explanation:

`(4x^3y^2 * 3x^6y^3)/(24x^(11)y^2) \\\\(12x^9y^5)/(24x^(11)y^2) \\\\(x^9y^5)/(2x^(11)y^2) \\\\\\frac{y^5}{2x^(11-9)y^2} \\\\(y^5)/(2x^(2)y^2) \\\\(y^(5-2))/(2x^(2)y^2) \\\\(y^(3))/(2x^(2))`

`(3rs^2t^4)^2/21r^2s^3t^11\\\\(9r^2s^4t^8)/(2s^3t^(11)) \\\\(9r^2s^(4-3)t^8)/(2s^3t^(11-8)) \\\\(9r^2s)/(2t^(3))`

`(10a^4b^6)(3a^5b^2) -7a^9b^8\\\\30a^9b^8-7a^9b^8\\\\23a^9b^8`

`(-5x^4y^7)^2 + 9x^8y^(14)\\\\25x^8y^(14)+9x^8y^(14)\\\\34x^8y^(14)`

Hope this helps!