Questions: (S/(m S^-2)m S^-1)/m =

(S/(m S^-2)m S^-1)/m =
Transcript text: $\frac{\frac{S}{{m S^{-2}}_{m S^{-1}}}}{m}=$
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Solution

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Solution Steps

Step 1: Simplify the Expression

The given expression is:

\[ \frac{\frac{S_{\text{IMPLIFG}}}{m \, S^{-2}}}{m \, S^{-1}} \]

This can be rewritten as:

\[ \frac{S_{\text{IMPLIFG}}}{m \, S^{-2}} \times \frac{1}{m \, S^{-1}} \]

Step 2: Simplify the Denominator

The denominator \(m \, S^{-2}\) and \(m \, S^{-1}\) can be combined:

\[ m \, S^{-2} \times m \, S^{-1} = m^2 \, S^{-3} \]

Step 3: Simplify the Entire Expression

Now, substitute back into the expression:

\[ \frac{S_{\text{IMPLIFG}}}{m^2 \, S^{-3}} \]

This simplifies to:

\[ S_{\text{IMPLIFG}} \times \frac{S^3}{m^2} \]

Final Answer

The simplified expression is:

\[ \boxed{\frac{S_{\text{IMPLIFG}} \, S^3}{m^2}} \]

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