If `a=x^(m+n)\ y^1,\ b-x^(n+l)\ y^m` and `c=x^(l+m)y^n ,` prove that `a^(m-n)\ b^(n-1)\ c^(1-m\ )=1`

Explanation

To prove that \( a^{m-n} \cdot b^{n-l} \cdot c^{l-m} = 1 \), we start with the given expressions for \( a \), \( b \), and \( c \):

1. **Given Expressions:**
\[ a = x^{m+n} \cdot y^{l}, \quad b = x^{n+l} \cdot y^{m}, \quad c = x^{l+m} \cdot y^{n} \]

2. **Substituting Values into the Expression:**
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