1 (a) Simplify $n^1 \times n^b$ (b) Simplify $\frac{c d^4}{c d}$ (c) Solve $\frac{5x}{2} > 7$ (Total for Question 1 is 5 marks) - Edexcel - GCSE Maths - Question 6 - 2020 - Paper 3

In this case, we can simplify the expression by canceling out common factors. We see that both the numerator and the denominator have a factor of $c$:

$\frac{c d^4}{c d} = \frac{d^4}{d}$

Using the property of exponents again, we simplify:

$\frac{d^4}{d} = d^{4-1} = d^3$

Hence, the simplified expression is $d^3$.

To solve this inequality, we first isolate $x$ by multiplying both sides by 2 to remove the fraction:

$5x > 14$

Next, we divide both sides by 5:

$x > \frac{14}{5}$

This indicates that $x$ must be greater than $2.8$. Therefore, the solution is:

$x > 2.8$