Answer:
[tex]5x^2y^5z[/tex]
Step-by-step explanation:
Hello!
Expand the cube root:
- [tex]\sqrt[3]{125x^6y^{15}z^3}[/tex]
- [tex]\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}[/tex]
Use exponent rule:
- [tex]\sqrt[a]{b^c} = b^{\frac ca}[/tex]
Simplify
- [tex]\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}[/tex]
- [tex]5^{\frac33}*x^{\frac63}*y^{\frac{15}{3}}*z^{\frac33}[/tex]
- [tex]5 * x^2 * y^5 * z[/tex]
- [tex]5x^2y^5z[/tex]
The answer is [tex]5x^2y^5z[/tex].
