Question

How can I order this simplification using the properties of rational exponents?

Answer 1

1)

`(875x^5y^9)^{(1)/(3)}`

2)

`(125\text{ .}7)^{(1)/(3)}.x^{(5)/(3)\text{ }}\text{ . }y^{(9)/(3)}`

3)

`(125)^{(1)/(3)}\text{ . }(7)^{(1)/(3)}\text{ }.\text{ }x^{((3)/(3)+(2)/(3))}.y^3`

4)

`(5^3)^{(1)/(3)\text{ }}.(7)^{(1)/(3)}.x^{(1\text{ + }(2)/(3))\text{ }}.y^3`

5)

`5^1.7^{(1)/(3)}\text{ . }x^1.x^{(2)/(3)\text{ }}.y^3`

6)

`5.x.y^3\text{ . (}7^{(1)/(3)}.x^{(2)/(3)})`

7)

`5xy^3\text{ . }(7x^2)^{(1)/(3)}`

8)

`5xy^3\text{ }\sqrt[3]{7x^2}`