According to exponent rules, what is the rational exponent in the equivalent expression to 5–√^3

Question

? Enter your response in fraction form.(1 point)

Answer 1

To convert the expression \( 5 - \sqrt[3]{x} \) to an equivalent expression using rational exponents, we first need to rewrite the cube root as a rational exponent.

The expression \( \sqrt[3]{x} \) can be written in terms of rational exponents as:

\[ \sqrt[3]{x} = x^{\frac{1}{3}} \]

Therefore, the expression \( 5 - \sqrt[3]{x} \) can be rewritten as:

\[ 5 - x^{\frac{1}{3}} \]

The rational exponent in this expression is \( \frac{1}{3} \).

So, the final answer is:

\[ \frac{1}{3} \]