Edexcel A-Level Mathematics AS P1.1.1 Laws of Indices Questions

Practise Edexcel IAL Mathematics P1.1.1 by simplifying rational or negative powers, using common bases to solve exponent equations and expressing powers in a defined base.

Exam points

rewrite expressions with a common base before equating indices to solve for constants
simplify products, quotients and powers with negative or rational indices
rewrite powers in terms of a defined base such as m=2^n

[Maximum number: 3]

In this question you must show all stages of your working.

Solutions relying on calculator technology are not acceptable.

By substituting $p=2^{x}$ , show that the equation

2 \times 4^{x}-2^{x+3}=17 \times 2^{x-1}-4

can be written in the form

4 p^{2}-33 p+8=0

With $p=2^x$ : $4^x=p^2,\ 2^{x+3}=8p,\ 2^{x-1}=\frac{p}{2}$ .

$2p^2-8p=\frac{17p}{2}-4$ $\Rightarrow4p^2-33p+8=0$

B1 M1 A1*

All question bank results loaded

Edexcel A-Level Mathematics AS P1.1.1 Laws of Indices Questions question 1