For this case we have an expression of the form:
[tex] \sqrt[4]{16x^{11}y^8}/(81x^7y^6) [/tex]
To solve the problem, we must rewrite the expression using properties of exponents.
Rewriting the expression we have:
[tex] \sqrt[4]{2^4x^8x^3y^8}/(81x^7y^6) [/tex]
Then, by root properties we have:
[tex] 2x^2y^2(\sqrt[4]{x^3})/(81x^7y^6)
[/tex]
Then, by power properties again:
[tex] 2(\sqrt[4]{x^3})/(81x^5y^4) [/tex]
Answer:
An expression that is equivalent is:
[tex] 2(\sqrt[4]{x^3})/(81x^5y^4) [/tex]
