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

Answer 1

To express \( \sqrt[3]{216} \) with a rational exponent, we start by rewriting the expression using exponent notation. The cube root can be expressed as raising the number to the power of \( \frac{1}{3} \). Therefore, we can rewrite \( \sqrt[3]{216} \) as:

\[ 216^{\frac{1}{3}}. \]

So \( \sqrt[3]{216} \) is equivalent to \( 216^{\frac{1}{3}} \).

If the original expression was \( \sqrt[3]{216} \), the equivalent expression with a rational exponent is \( 216^{\frac{1}{3}} \). Would you like to know more about rational exponents or anything else related to exponents?