Question

Using the properties of exponents to generate an equivalent expression, which of the following would be the rational exponent on an expression equivalent to 216−−−√3 ?(1 point)
Responses

13
Start Fraction 1 over 3 End Fraction

3
3

−3
negative 3

−13

Answer 1

To determine the rational exponent for the expression \( \sqrt[3]{216} \), we can use the properties of exponents.

The expression \( \sqrt[3]{216} \) can be rewritten as:
\[
216^{1/3}
\]

Therefore, the rational exponent on the expression equivalent to \( \sqrt[3]{216} \) is \( \frac{1}{3} \).

The correct response is:
**Start Fraction 1 over 3 End Fraction**.