The expression you've provided can be interpreted as the cube root of \( 2x^3 \). To convert this expression into exponential form, we can use the property that the cube root of a number can be expressed as that number raised to the power of \( \frac{1}{3} \).
Thus, the cube root of \( 2x^3 \) in exponential form is:
\[ (2x^3)^{\frac{1}{3}} \]
If you want to simplify it further, it can also be written as:
\[ 2^{\frac{1}{3}} \cdot (x^3)^{\frac{1}{3}} = 2^{\frac{1}{3}} \cdot x^{1} = 2^{\frac{1}{3}} x \]
So, either:
\[ (2x^3)^{\frac{1}{3}} \]
or
\[ 2^{\frac{1}{3}} x \]
is acceptable in exponential form, depending on how you want to express it.