NOTE: Answers to all questions are given at the end of this exercise.

**Question No. 1:**

**Express the following using index notation:**

**(a) 7 x 7**

**(b) 2 x 2 x 5 x 5**

**(c) 3 x 7 x 7 x 7**

**(d) 5 x 5 x 11 x 11 x 11**

**(e) 2 x 2 x 13 x 13 x 31 x 2**

**(f) 5 x 5 x 5 x ****19 x 29 x 19 x 23 x 29**

**Question No. 2:**

**Express each of the following as a product of prime factors using index notation:**

**(a) 28**

**(b) 48**

**(c) 54**

**(d) 88**

**(e) 108**

**(f) 144**

**(g) 192**

**(h) 256**

**Question No. 3:**

**Complete the following factor trees:**

**(a) 8**

**(b) 36**

**(c) 30**

**(d) 72**

**Question No. 4:**

**Factorise each of the following numbers into prime factors:**

**(a) 100**

**(b) 125**

**(c) 147**

**(d) 216**

**(e) 225**

**(f) 360**

**(g) 567**

**(h) 648**

**Answers**

**(from left to right)**

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