# 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
• 67 × 66
• 89 ÷ 88
• 35 ÷ 35
• 83 × 85
• 33 × 34
• 29 ÷ 22
• 95 ÷ 92
• 44 × 47
• 62 × 63
• 63 ÷ 65
• 78 ÷ 73
• 36 × 32
• 28 × 25
• 57 ÷ 57
• 89 ÷ 88

## Question 2: Brackets and harder expressions

Simplify the following expressions
• (39)7
• 9x3 × 4x3
• 3a5 ÷ 7a6
• (6a7)4
• (84)9
• 6e6 × 8e8
• 5a8 ÷ 4a7
• (4e5)7
• (29)2
• 3n6 × 5n3
• 8x8 ÷ 8x4
• (6n4)2
• (43)5
• 7x4 × 5x7
• 7a3 ÷ 9a8
• (3n7)9
• $\frac{15n^6 \times 24n^8}{5n^4}$
• $\frac{9a^3 \times 7a^8}{7a^9}$
• $\frac{18x^7 \times 11x^3}{7x^9}$

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Rules Of Indices
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## Question 1: Multiplying and Dividing

Simplify each of the following expressions.
• 33 × 32
• 67 × 66
• 89 ÷ 88
• 35 ÷ 35
• 83 × 85
• 33 × 34
• 29 ÷ 22
• 95 ÷ 92
• 44 × 47
• 62 × 63
• 63 ÷ 65
• 78 ÷ 73
• 36 × 32
• 28 × 25
• 57 ÷ 57
• 89 ÷ 88
Leave
blank

## Question 2: Brackets and harder expressions

Simplify the following expressions
• (39)7
• 9x3 × 4x3
• 3a5 ÷ 7a6
• (6a7)4
• (84)9
• 6e6 × 8e8
• 5a8 ÷ 4a7
• (4e5)7
• (29)2
• 3n6 × 5n3
• 8x8 ÷ 8x4
• (6n4)2
• (43)5
• 7x4 × 5x7
• 7a3 ÷ 9a8
• (3n7)9
• $\frac{15n^6 \times 24n^8}{5n^4}$
• $\frac{9a^3 \times 7a^8}{7a^9}$
• $\frac{18x^7 \times 11x^3}{7x^9}$
Leave
blank
Date:
Firstname:
Rules Of Indices
Surname:

## Question 1: Multiplying and Dividing

Simplify each of the following expressions.
• 33 × 32
• 67 × 66
• 89 ÷ 88
• 35 ÷ 35
• 83 × 85
• 33 × 34
• 29 ÷ 22
• 95 ÷ 92
• 44 × 47
• 62 × 63
• 63 ÷ 65
• 78 ÷ 73
• 36 × 32
• 28 × 25
• 57 ÷ 57
• 89 ÷ 88
Leave
blank

## Question 2: Brackets and harder expressions

Simplify the following expressions
• (39)7
• 9x3 × 4x3
• 3a5 ÷ 7a6
• (6a7)4
• (84)9
• 6e6 × 8e8
• 5a8 ÷ 4a7
• (4e5)7
• (29)2
• 3n6 × 5n3
• 8x8 ÷ 8x4
• (6n4)2
• (43)5
• 7x4 × 5x7
• 7a3 ÷ 9a8
• (3n7)9
• $\frac{15n^6 \times 24n^8}{5n^4}$
• $\frac{9a^3 \times 7a^8}{7a^9}$
• $\frac{18x^7 \times 11x^3}{7x^9}$
Leave
blank

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