Question

I need help breaking it down step by step
`\sqrt[4]{567x^(9)y^(11) }`

Answer 1

`\sqrt[4]{567x^9y^(11)}`

At first, we will change the root fourth to an exponent 1/4

`(567x^9y^(11))^{(1)/(4)}`

Each term inside the bracket will take the exponent 1/4

`(567)^{(1)/(4)}(x^9)^{(1)/(4)}(y^(11))^{(1)/(4)}`

567 = 81 . 7

We will multiply the exponents of x and the exponent of y

`(81.7)^{(1)/(4)}.x^{(9)/(4)}.y^{(11)/(4)}`

1st step: 3rd one

2nd step: 1st one

3rd step: 6th one

4th step: 2nd one

5th step: 5th one

6th step: 8th one

7th step: 7th one

8th step: 4th one