Question

X^1/3 equivalent square root

Answer 1

To find an expression that relates the cube root of \( x \) to a square root, we start with the cube root:

\[
x^{1/3}
\]

To express this in terms of the square root, we can rewrite it as follows:

\[
x^{1/3} = (x^{1/2})^{2/3}
\]

Alternatively, we can also represent \( x^{1/3} \) using a fractional exponent related to square roots:

\[
x^{1/3} = \sqrt{x^{2/3}}
\]

This means that the cube root of \( x \) can be represented as the square root of \( x^{2/3} \).

Therefore, \( x^{1/3} \) is equivalent to \( \sqrt{x^{2/3}} \).