Hello!
The answer is:
c. [tex]15\sqrt[15]{x^{5}y^{3}}[/tex]
Why?
To express the expression using a radical we must remember that:
Transforming radical to exponential form:
[tex]\sqrt[n]{x}=x^{\frac{1}{n}}\\\sqrt{x}=x^{\frac{1}{2} }[/tex]
So, the given expression is:
[tex]15x^{\frac{1}{3}}y^{\frac{1}{5}}[/tex]
Its radical form will be:
[tex]15\sqrt[3]{x}\sqrt[5]{y}[/tex]
Then, the expression could be also equivalent to:
[tex]15\sqrt[3]{x}\sqrt[5]{y}=15\sqrt[15]{x^{5}}\sqrt[15]{y^{3}}\\\\15\sqrt[15]{x^{5}}\sqrt[15]{y^{3}}=15\sqrt[15]{x^{5}y^{3}}[/tex]
Have a nice day!
