Pregunta
Write an equivalent expression with positive exponents and, if possible, simplify. \( \frac{8 \mathrm{w}}{\sqrt[5]{x}} \) \( \frac{8 w}{\sqrt[5]{x}}=\square \) (Simplify your answer. Type exponential notation with positive exponents. Use integers or fractions for any numbers in the expression.)
Ask by Gibson Chadwick. in the United States
Mar 17,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( \frac{8w\sqrt[5]{x^{4}}}{x} \)
Solución
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 equivalent expression with positive exponents is \( \frac{8w\sqrt[5]{x^{4}}}{x} \).
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Como
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Bonus Knowledge
To express \( \frac{8w}{\sqrt[5]{x}} \) with positive exponents, we can rewrite the square root in fractional exponent form. The fifth root can be expressed as \( x^{1/5} \). Thus, we have: \[ \frac{8w}{x^{1/5}} = 8w \cdot x^{-1/5} \] So, the equivalent expression with positive exponents is: \[ 8w x^{-1/5} \]

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