Cambridge IGCSE Mathematics practice

exam practice - Understand and apply the concept of indices, including positive, zero, and negative values. Be able to simplify expressions using the rules of indices, such as simplifying 3^2 • (5x) • 12a^5 ÷ 3a^-2 • 6x^7y^4 × 5x^-5y. Knowledge of logarithms is not necessary. - Indices II

Try the question first, then check the answer and practise the same topic again.

At a glance

Paper

Marks

Topic

Indices II

Exam-style question

Try this first

Paper 2Core or Extended Mathematics3 marks

Simplifying expressions with indices.

Description

Simplify the following expression: 3^2 • (5x) • 12a^5 ÷ 3a^-2 • 6x^7y^4 × 5x^-5y.

a
Calculate the simplified form of the expression.
Your answer
Aim for approximately 3 distinct marking points.
[3]

0 of 1 part answered

Answer every part before opening the mark scheme.

Maths method check

Topic focus: Indices II.
Question style: structured_mathematics.
Reasoning demand: reasoning.
Check the operation, notation, units, and final answer form against the question before moving on.

Common mistake

No common mistake is linked to this question yet.

Flashcard 1 of 6

Press Space to flip, arrows to move

Paper 2Core or Extended Mathematics2 marks

Description

Evaluate the expression: 2^3 ÷ 2^(-2) • 4^(-1).

a
Calculate the value of the expression.
Your answer
Aim for approximately 2 distinct marking points.
[2]