This document contains math exercises on simplifying expressions with exponents. It is divided into multiple sections involving calculating values, expressing numbers as negative exponent powers, simplifying expressions using index laws, writing numbers as powers of 2, 3, or 5, and includes links to online exponent games.

1. UNIT 02 October
1. Calculate:
2. Express as negative exponent powers product:
𝒂𝒂)
𝟒𝟒
𝟗𝟗
𝒃𝒃)
−𝟖𝟖
𝟐𝟐𝟐𝟐
3. Simplify:
𝟓𝟓−𝟐𝟐 (−𝟓𝟓)−𝟐𝟐
(−𝟑𝟑)−𝟑𝟑
2−5
�
𝟒𝟒
𝟓𝟓
�
−𝟏𝟏
�
4
−7
�
−1
�
−𝟐𝟐
𝟒𝟒
�
−𝟒𝟒
�
10
7
�
2
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.2.1.1

2. UNIT 02 October
4. Simplify:
5. Simplify using the index laws:
6. Express the following in simplest form, without brackets:
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.2.1.2

3. UNIT 02 October
7. Write as powers of 2, 3 or 5:
8. Simplify using the index laws:
𝒂𝒂) − �−
𝟏𝟏
𝟐𝟐
�
−𝟑𝟑
∙ (−𝟒𝟒−𝟑𝟑) ∙ (−𝟑𝟑−𝟑𝟑)
𝒃𝒃) (−𝟑𝟑)𝟖𝟖
∙ 𝟓𝟓𝟖𝟖
÷ (−𝟏𝟏)𝟖𝟖
𝒄𝒄) 𝟐𝟐𝟑𝟑
∙ 𝟑𝟑𝟑𝟑
÷ (−𝟔𝟔)𝟒𝟒
𝒅𝒅)𝟒𝟒𝟒𝟒𝟒𝟒
÷ (−𝟓𝟓)𝟒𝟒
÷ 𝟖𝟖𝟑𝟑
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.2.1.3

4. UNIT 02 October
http://www.ezschool.com/play/math/timed-evaluation---find-the-value-of-the-
exponent-before-the-alien-lands/796
http://www.math-play.com/Exponents-Jeopardy/Exponents-Jeopardy.html
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.2.1.4