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
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
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
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

4 ESO - Unit 02 - Exercises 4.2.1 - Powers

  • 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.