Question

X1/3y1/6 rewrite expression in radical form

Answer 1

Answer:

Step-by-step explanation:

Please, use the symbol " ^ " to denote exponentiation:

x^(1/3) * y^(1/6)

In radical form, this would be:

∛x*(6th root of y)    (the index of the second root is 6).

Alternatively, you could write:

∛x * √((∛y)).

Answer 2

Answer:

$\sqrt[3]{x}\sqrt[6]{y}$

Step-by-step explanation:

The given expression is: $x^{\frac{1}{3}} y^{\frac{1}{6} }$

There is a property that allows to express every radical into a fractional exponent, and vice versa:

$\sqrt[n]{x^{m} }=x^{\frac{m}{n}}$

Applying this property, we have:

$x^{\frac{1}{3}} y^{\frac{1}{6} }\\\sqrt[3]{x}\sqrt[6]{y}$

Therefore, the new expression is $\sqrt[3]{x}\sqrt[6]{y}$