Question
\( \frac{8 w}{\sqrt[5]{x}} \) \( \frac{8 w}{\sqrt[5]{x}}=\square \) (Simplify your answer. Type exponential notation with positive exponents. Use integers or fractions for any numbers in the expression.)
Ask by Tran Montgomery. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified form is \( \frac{8w\sqrt[5]{x^{4}}}{x} \).
Solution
Calculate or simplify the expression \( \frac{8w}{\sqrt[5]{x}} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{8w}{\sqrt[5]{x}}\)
- step1: Simplify:
\(\frac{8w\sqrt[5]{x^{4}}}{x}\)
The simplified form of \( \frac{8w}{\sqrt[5]{x}} \) is \( \frac{8w\sqrt[5]{x^{4}}}{x} \).
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Simplify this solution Bonus Knowledge
To simplify the expression \( \frac{8 w}{\sqrt[5]{x}} \), we can rewrite the denominator in exponential notation. The fifth root of \( x \) can be expressed as \( x^{1/5} \). Thus, the expression becomes: \[ \frac{8w}{x^{1/5}} = 8w \cdot x^{-1/5} \] This way, the expression is simplified with positive exponents, and the final result is: \[ 8wx^{-1/5} \]
