Pregunta
23) Simplify. \( \frac{m^{3} n^{-6}}{p^{9}} \)
Ask by Chandler French. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\[
\frac{m^3}{n^6 p^9}
\]
Solución
To simplify the expression:
\[
\frac{m^{3} n^{-6}}{p^{9}}
\]
We want to eliminate the negative exponent. Recall that \( n^{-6} = \frac{1}{n^6} \). Substituting this into the expression gives:
\[
\frac{m^{3} \cdot \frac{1}{n^6}}{p^{9}} = \frac{m^3}{n^6 p^9}
\]
So, the simplified form is:
\[
\frac{m^3}{n^6 p^9}
\]
**Final Answer:**
\[
\frac{m^3}{n^6 p^9}
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Extra Insights
To simplify the expression \( \frac{m^{3} n^{-6}}{p^{9}} \), we can start by rewriting it in a more manageable form. The term \( n^{-6} \) can be expressed as \( \frac{1}{n^{6}} \), transforming the entire expression to \( \frac{m^{3}}{p^{9} n^{6}} \). Now, the simplified expression is \( \frac{m^{3}}{p^{9} n^{6}} \). Think of this simplification process like cleaning up your workspace. By moving negative exponents to the denominator, you create a clearer view, making it easier to handle the expression in further calculations! So, keep it neat and organized!
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