Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
[tex]\sqrt[3]{125x^6y^15z^3}[/tex]
We need to find the cube root of the above expression:
For this we will use the exponential rule :
[tex](a^m)^\frac{1}{n}=a^\frac{m}{n}[/tex]
[tex]\sqrt[3]{125x^6y^15z^3}\\\\=\sqrt[3]{125}\sqrt[3]{x^6}\sqrt[3]{y^{15}}\sqrt[3]{z^3}\\\\=125^{\frac{1}{3}}x^{\frac{6}{3}}y^{\frac{15}{3}}z^{\frac{3}{3}}\\\\=5x^2y^5z[/tex]
Hence, Option 'B' is correct.
