Pregunta
11 Write the expression with only positive exponents. \( \frac{4 y^{-8}}{x^{3}} \)
Ask by Beck Ward. in the United States
Mar 07,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The expression with only positive exponents is \( \frac{4}{x^{3}y^{8}} \).
Solución
Calculate or simplify the expression \( \frac{4y^{-8}}{x^{3}} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{4y^{-8}}{x^{3}}\)
- step1: Rewrite the expression:
\(\frac{\frac{4}{y^{8}}}{x^{3}}\)
- step2: Simplify:
\(\frac{4}{x^{3}y^{8}}\)
The expression with only positive exponents is \( \frac{4}{x^{3}y^{8}} \).
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Como
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Mind Expander
To write the expression with only positive exponents, we can rewrite \(y^{-8}\) as \(\frac{1}{y^{8}}\). Thus, the expression becomes: \[ \frac{4 y^{-8}}{x^{3}} = \frac{4}{x^{3} y^{8}} \] This gives us the same value but with all positive exponents. Now you have the expression \(\frac{4}{x^{3} y^{8}}\), which is in its simplified form using only positive exponents!

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