Laws of indices and surdsEdexcel A-Level Maths: Mind map

Exam questions on Laws of indices and surds

1. The number $N$ is given by $N=\left(\frac{8}{27}\right)^{-\frac{2}{3}}$.
   Find the exact value of $N^{-\frac{1}{2}}$.2 marks
2. It is given that $2^{x}=a$, where $a>0$.
   Express $2^{3x-1}$ in terms of $a$.2 marks
3. A rectangle has width $(3+\sqrt{5})$ cm and area $(11+5\sqrt{5})$ cm$^2$.
   Show that the length of the rectangle is $(2+\sqrt{5})$ cm.3 marks