Option 4:
is the right answer
Step-by-step explanation:
Given expression is:

In order to convert an exponent into radical form, the power should be in the form of 1/x where x is any number
so,
in case of 3/7, it will be broken down

The 1/7 will be converted into base of radical while 3 will be he exponent
![\sqrt[7]{(5x^3y^4)^3}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B%285x%5E3y%5E4%29%5E3%7D)
Multiplying exponents
![=\sqrt[7]{5^3x^{3*3}y^{4*3}}\\=\sqrt[7]{125x^9y^{12}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B7%5D%7B5%5E3x%5E%7B3%2A3%7Dy%5E%7B4%2A3%7D%7D%5C%5C%3D%5Csqrt%5B7%5D%7B125x%5E9y%5E%7B12%7D%7D)
Hence,
Option 4:
is the right answer
Keywords: Radicals, Exponents
Learn more about exponents at:
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