[tex]\sqrt[4]{567x^9y^{11}}[/tex]
At first, we will change the root fourth to an exponent 1/4
[tex](567x^9y^{11})^{\frac{1}{4}}[/tex]
Each term inside the bracket will take the exponent 1/4
[tex](567)^{\frac{1}{4}}(x^9)^{\frac{1}{4}}(y^{11})^{\frac{1}{4}}[/tex]
567 = 81 . 7
We will multiply the exponents of x and the exponent of y
[tex](81.7)^{\frac{1}{4}}.x^{\frac{9}{4}}.y^{\frac{11}{4}}[/tex]
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
