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)

Question

Responses

13
Start Fraction 1 over 3 End Fraction

3
3

−13
negative Start Fraction 1 over 3 End Fraction

−3
negative 3

Answer 1

To rewrite \( 216^{\frac{1}{3}} \) using properties of exponents, we can recognize that \( 216^{\frac{1}{3}} \) means the cube root of 216. This can also be written as:

\[ 216^{1/3} \]

Thus, the rational exponent on this expression is \( \frac{1}{3} \).

Hence, the correct response is:

Start Fraction 1 over 3 End Fraction