CAIE IGCSE Mathematics Core C2.4 Indices II Question Bank

Practise simplifying powers using zero, negative and positive indices, including products, quotients and powers of powers.

Exam points

apply index laws to products, quotients and powers of powers with the same base
find missing exponents by comparing powers in equations
interpret zero and negative indices when simplifying numerical or algebraic terms

Covered syllabus points

C2.4.1 Understand and use indices (positive, zero and negative).C2.4.2 Understand and use the rules of indices

[Maximum number: 2]

Simplify.

(a)

$y^{3} \div y^{5}$

[ 1 ]

$y^{-2}$ or $\frac1{y^2}$ final answer

(b)

$7 x^{0}$

[ 1 ]

[Maximum number: 1]

Simplify $\left(x^{4}\right)^{3}$ .

$x^{12}$

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