CAIE IGCSE Mathematics Extended E2.4.2 Understand and Use the Rules of Indices Questions

Practise Extended CAIE IGCSE Mathematics by simplifying fractional powers, rewriting common bases and equating exponents in exponential equations.

Exam points

Simplify products, quotients and powers by applying positive, zero, negative and fractional index laws to each variable.
Rewrite both sides with a common base before equating exponents in a simple exponential equation.
Use the highest prime and variable powers when comparing or forming an algebraic least common multiple.

[Maximum number: 1]

f(x)=1-3x $g(x)=(x-1)^2$ $h(x)=\frac3x,\ x\ne0$

h(x^n)=3 x^7

Find the value of n.

n=

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