Question

What is the simplest form of the quotient? 3^sqrt x3/5^sqrt x2

Answer 1

\[\frac{ \sqrt[3]{x^3} }{ \sqrt[5]{x^2} }\]

Answer 2

\[\sqrt[3]{x} = x ^{\frac{ 1 }{ 3 }}\]

for the numerator we have:

\[(x^{3})^{\frac{ 1 }{ 3 }} = x ^{\frac{ 3 }{ 3 }} = 1\]


Now you try for the denominator