Question
Using the properties of exponents, which expression is equivalent to x}x^3/4 ?(1 point) Responses x−−√4 root ind
Answers
GPT-4o mini
To simplify the expression \( x^{\frac{x^3}{4}} \) using properties of exponents, we can analyze it step by step.
1. The expression is essentially \( x \) raised to the power of \( \frac{x^3}{4} \).
2. We can write it in exponent notation: \( x^{\frac{x^3}{4}} = \sqrt[4]{x^{x^3}} \), since raising to the \( \frac{1}{4} \) power is equivalent to taking the fourth root.
Thus, the equivalent expression for \( x^{\frac{x^3}{4}} \) in a clearer form is \( \sqrt[4]{x^{x^3}} \).
However, it seems like the answer options might have not been fully provided. If you have other multiple-choice options, please share them for complete assessment. From the provided text, it seems like you're looking for a form, and \( \sqrt[4]{x^{x^3}} \) describes that correctly. But based on your note about \( x - \) and possible roots, it appears there might be missing context. Please clarify further if you can provide the choices or any additional text.
1. The expression is essentially \( x \) raised to the power of \( \frac{x^3}{4} \).
2. We can write it in exponent notation: \( x^{\frac{x^3}{4}} = \sqrt[4]{x^{x^3}} \), since raising to the \( \frac{1}{4} \) power is equivalent to taking the fourth root.
Thus, the equivalent expression for \( x^{\frac{x^3}{4}} \) in a clearer form is \( \sqrt[4]{x^{x^3}} \).
However, it seems like the answer options might have not been fully provided. If you have other multiple-choice options, please share them for complete assessment. From the provided text, it seems like you're looking for a form, and \( \sqrt[4]{x^{x^3}} \) describes that correctly. But based on your note about \( x - \) and possible roots, it appears there might be missing context. Please clarify further if you can provide the choices or any additional text.