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Indices Worksheet

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Rules Of Indices

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This document contains a worksheet for the indices rules. You can learn more about the indices rules in this entry Indices Rules

Question 1: Multiplying and Dividing

Simplify each of the following expressions.
  • 33 × 32
  • 26 × 26
  • 45 ÷ 43
  • 49 ÷ 49
  • 53 × 58
  • 78 × 79
  • 37 ÷ 39
  • 66 ÷ 64
  • 54 × 52
  • 46 × 45
  • 38 ÷ 36
  • 48 ÷ 43
  • 82 × 86
  • 25 × 26
  • 28 ÷ 27
  • 86 ÷ 85

Question 2: Brackets and harder expressions

Simplify the following expressions
  • (77)3
  • 7a2 × 7a9
  • 9x6 ÷ 5x3
  • (2x4)5
  • (57)8
  • 3e4 × 9e9
  • 3x6 ÷ 7x3
  • (8e4)2
  • (79)9
  • 8x2 × 5x5
  • 6n6 ÷ 8n3
  • (8x4)3
  • (83)7
  • 8e9 × 8e7
  • 9e4 ÷ 9e8
  • (6x3)9
  • \[ \frac{3e^2 \times 22e^2}{4e^5} \]
  • \[ \frac{3x^3 \times 24x^9}{23x^7} \]
  • \[ \frac{9a^5 \times 5a^9}{15a^7} \]

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Date:
Firstname:
Rules Of Indices
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Question 1: Multiplying and Dividing

Simplify each of the following expressions.
  • 33 × 32
  • 26 × 26
  • 45 ÷ 43
  • 49 ÷ 49
  • 53 × 58
  • 78 × 79
  • 37 ÷ 39
  • 66 ÷ 64
  • 54 × 52
  • 46 × 45
  • 38 ÷ 36
  • 48 ÷ 43
  • 82 × 86
  • 25 × 26
  • 28 ÷ 27
  • 86 ÷ 85
Leave
blank

Question 2: Brackets and harder expressions

Simplify the following expressions
  • (77)3
  • 7a2 × 7a9
  • 9x6 ÷ 5x3
  • (2x4)5
  • (57)8
  • 3e4 × 9e9
  • 3x6 ÷ 7x3
  • (8e4)2
  • (79)9
  • 8x2 × 5x5
  • 6n6 ÷ 8n3
  • (8x4)3
  • (83)7
  • 8e9 × 8e7
  • 9e4 ÷ 9e8
  • (6x3)9
  • \[ \frac{3e^2 \times 22e^2}{4e^5} \]
  • \[ \frac{3x^3 \times 24x^9}{23x^7} \]
  • \[ \frac{9a^5 \times 5a^9}{15a^7} \]
Leave
blank

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Date:
Firstname:
Rules Of Indices
Surname:

Question 1: Multiplying and Dividing

Simplify each of the following expressions.
  • 33 × 32
  • 26 × 26
  • 45 ÷ 43
  • 49 ÷ 49
  • 53 × 58
  • 78 × 79
  • 37 ÷ 39
  • 66 ÷ 64
  • 54 × 52
  • 46 × 45
  • 38 ÷ 36
  • 48 ÷ 43
  • 82 × 86
  • 25 × 26
  • 28 ÷ 27
  • 86 ÷ 85
Leave
blank

Question 2: Brackets and harder expressions

Simplify the following expressions
  • (77)3
  • 7a2 × 7a9
  • 9x6 ÷ 5x3
  • (2x4)5
  • (57)8
  • 3e4 × 9e9
  • 3x6 ÷ 7x3
  • (8e4)2
  • (79)9
  • 8x2 × 5x5
  • 6n6 ÷ 8n3
  • (8x4)3
  • (83)7
  • 8e9 × 8e7
  • 9e4 ÷ 9e8
  • (6x3)9
  • \[ \frac{3e^2 \times 22e^2}{4e^5} \]
  • \[ \frac{3x^3 \times 24x^9}{23x^7} \]
  • \[ \frac{9a^5 \times 5a^9}{15a^7} \]
Leave
blank

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