Answer:
[tex]\frac{5x^2 }{y^{15}z^3}[/tex]
Step-by-step explanation:
We want to find an expression that is equivalent to [tex]\frac{\sqrt[3]{125x^6} }{y^{15}z^3}[/tex]
We need to simplify the numerator to obtain: [tex]\frac{\sqrt[3]{5^3(x^2)^3} }{y^{15}z^3}[/tex]
We simplify further under the cube root to get:
[tex]\frac{\sqrt[3]{(5(x^2))^3} }{y^{15}z^3}[/tex]
The numerator finally simplifies to:
[tex]\frac{5x^2 }{y^{15}z^3}[/tex]
Hence the given expression is equivalent to:
[tex]\frac{5x^2 }{y^{15}z^3}[/tex]
