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1 answer:
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<span> For this case we have an expression of the form:
</span>![\sqrt[4]{16x^{11}y^8}/(81x^7y^6)](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B16x%5E%7B11%7Dy%5E8%7D%2F%2881x%5E7y%5E6%29%20)
To solve the problem, we must rewrite the expression using properties of exponents.
Rewriting the expression we have:
![\sqrt[4]{2^4x^8x^3y^8}/(81x^7y^6)](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B2%5E4x%5E8x%5E3y%5E8%7D%2F%2881x%5E7y%5E6%29%20)
Then, by root properties we have:
![2x^2y^2(\sqrt[4]{x^3})/(81x^7y^6) ](https://tex.z-dn.net/?f=%202x%5E2y%5E2%28%5Csqrt%5B4%5D%7Bx%5E3%7D%29%2F%2881x%5E7y%5E6%29%0A)
Then, by power properties again:
![2(\sqrt[4]{x^3})/(81x^5y^4)](https://tex.z-dn.net/?f=%202%28%5Csqrt%5B4%5D%7Bx%5E3%7D%29%2F%2881x%5E5y%5E4%29%20)
Answer:
An <span>expression that is equivalent is:
</span>
</span>
To solve the problem, we must rewrite the expression using properties of exponents.
Rewriting the expression we have:
Then, by root properties we have:
Then, by power properties again:
Answer:
An <span>expression that is equivalent is:
</span>
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