Answer:
[tex]\sqrt[3]{x}\sqrt[6]{y}[/tex]
Step-by-step explanation:
The given expression is: [tex]x^{\frac{1}{3}} y^{\frac{1}{6} }[/tex]
There is a property that allows to express every radical into a fractional exponent, and vice versa:
[tex]\sqrt[n]{x^{m} }=x^{\frac{m}{n}}[/tex]
Applying this property, we have:
[tex]x^{\frac{1}{3}} y^{\frac{1}{6} }\\\sqrt[3]{x}\sqrt[6]{y}[/tex]
Therefore, the new expression is [tex]\sqrt[3]{x}\sqrt[6]{y}[/tex]
x1/3y1/6 rewrite expression in radical form is mathematically given as
[tex]^3 \sqrt{x}* ^6 \sqrt{y}[/tex]
Question Parameters:
x1/3y1/6 rewrite expression in radical form
Generally the equation for the expression is mathematically given as
[tex]x^(1/3) * y^(1/6)[/tex]
Therefore, In radical form
[tex]^3 \sqrt{x}* ^6 \sqrt{y}[/tex]
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