Answer:
B. [tex]5x^2 y^5 z[/tex]
Step-by-step explanation:
Given expression is,
[tex]\sqrt[3]{125x^6y^{15}15z^3}[/tex]
[tex]=\sqrt[3]{(5^3)(x^2)^3(y^5)^3(z)^3}[/tex] ( [tex](a^{mn}=(a^m)^n[/tex] )
[tex]=\sqrt[3]{(5x^2 y^5 z)^3}[/tex] ( [tex]a^m.b^m=(ab)^m[/tex] )
[tex]=((5x^2 y^5 z)^3)^{\frac{1}{3}}[/tex] ( [tex]\sqrt[m]{a}=a^{\frac{1}{m}}[/tex] )
[tex]=(5x^2 y^5 z)^{3\times {\frac{1}{3}}[/tex]
[tex]=(5x^2 y^5 z)^1[/tex]
[tex]=5x^2 y^5 z[/tex]
Hence, option B is correct.
