Cambridge IGCSE Mathematics practice

exam practice - Understand and apply indices, including positive, zero, negative, and fractional values. For example, calculate values such as 2^6 = 64 and 4^-2 = 1/16. Additionally, utilize the rules of indices to solve expressions like 2^-3 × 2^4, (2^3)^2, and 2^3 ÷ 2^4. - Indices I

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At a glance

Paper

Marks

Topic

Indices I

Exam-style question

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Paper 2Core or Extended Mathematics3 marks

Calculating powers and applying the rules of indices.

Description

Calculate the following expressions using the rules of indices: 1. 3^4 2. 2^-3 × 2^5

a
Calculate Find the value of 3^4.
Your answer
Aim for approximately 1 distinct marking point.
[1]
b
Calculate Evaluate 2^-3 × 2^5.
Your answer
Aim for approximately 2 distinct marking points.
[2]

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Maths method check

Topic focus: Indices I.
Question style: structured_mathematics.
Reasoning demand: reasoning.
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Paper 2Core or Extended Mathematics4 marks

Description

Simplify the following expressions: 1. (4^2)^3 2. 5^0 ÷ 5^-2

a
Calculate Simplify (4^2)^3.
Your answer
Aim for approximately 2 distinct marking points.
[2]
b
Calculate Simplify 5^0 ÷ 5^-2.
Your answer
Aim for approximately 2 distinct marking points.
[2]