Find the simplified product:
2 answers:
I think we can do this by converting the radicals to exponents
the given expression = 2^1/3 * x^5/3 * 4 x^3
= 4* 2^1/3 * x^14/3
the third option = 4 x^4 * 2^1/3 * x^2/3
= 4*2^1/3 * x^14/3
so its the third option
Use:
![\sqrt[n]{a}\cdot\sqrt[n]{b}=\sqrt[n]{a\cdot b}\\\\a^n\cdot a^m=a^{n+m}\\\\(a^n)^m=a^{n\cdot m}\\\\\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%5Ccdot%5Csqrt%5Bn%5D%7Bb%7D%3D%5Csqrt%5Bn%5D%7Ba%5Ccdot%20b%7D%5C%5C%5C%5Ca%5En%5Ccdot%20a%5Em%3Da%5E%7Bn%2Bm%7D%5C%5C%5C%5C%28a%5En%29%5Em%3Da%5E%7Bn%5Ccdot%20m%7D%5C%5C%5C%5C%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
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