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

Question

Responses

3
3
1/3
Start Fraction 1 over 3 End Fraction
−1/3
negative Start Fraction 1 over 3 End Fraction
−3

Answer 1

To express the cube root of 216, which is denoted as \( \sqrt[3]{216} \), using rational exponents, we write:

\[ \sqrt[3]{216} = 216^{1/3} \]

Thus, the rational exponent in this equivalent expression is \( \frac{1}{3} \) or \( 1/3 \).

So the correct answer is:

1/3 (or "Start Fraction 1 over 3 End Fraction").