10 (a) Simplify \( \left( \frac{1}{m} \right)^{y} \) (b) Simplify \( \frac{8(k - 4)}{(k - 4)^{2}} \) (c) Simplify \( (3n^{2}w^{2})^{3} \) - Edexcel - GCSE Maths - Question 11 - 2020 - Paper 2

The expression can be simplified by canceling common factors in the numerator and denominator:

[ \frac{8(k - 4)}{(k - 4)^{2}} = \frac{8}{k - 4}, \ k \neq 4. ]

For this expression, we apply the rule ( (ab)^{n} = a^{n}b^{n} ) and also handle the power of a power rule ( (a^{m})^{n} = a^{mn} ):

[ (3n^{2}w^{2})^{3} = 3^{3}(n^{2})^{3}(w^{2})^{3} = 27n^{6}w^{6}. ]