10 (a) Simplify $\left( \frac{1}{m} \right)^{y}$: (b) Simplify $\frac{8(x - 4)}{(x - 4)^{2}}$: (c) Simplify $\left(3n^{2}w^{3}\right)^{2}$: (Total for Question 10 is 4 marks) - Edexcel - GCSE Maths - Question 10 - 2020 - Paper 2

We can simplify the expression by canceling out the common factor $(x - 4)$ in the numerator and the denominator:

$\frac{8(x - 4)}{(x - 4)^{2}} = \frac{8}{(x - 4)}.$

To simplify $\left(3n^{2}w^{3}\right)^{2}$, we use the power of a product rule, which states:

$(ab)^{n} = a^{n}b^{n}.$

Applying this, we get:

$\left(3\right)^{2}\left(n^{2}\right)^{2}\left(w^{3}\right)^{2} = 9n^{4}w^{6}.$