Indices

Question 14: Given that  k 3 = 9 − 3 2 × 64 1 2 , find the value of k. Solution: k 3 = 9 − 3 2 × 64 1 2    = ( 3 2 ) − 3 2 × ( 2 6 ) 1 2    = 3 −3 × 2 3    = ( 2 3 ) 3 k= … Read more

Question 10: Given that  2 5 × 2 7 2 10 = 2 p , find the value of p. Solution: 2 5 × 2 7 2 10 = 2 p 2 5+7−10 = 2 p 2 2 = 2 p p=2 Question 11: Simplify:  12 p 10 q 6 3 p 4 q 2 × ( 4p q 3 ) … Read more

Question 6: Find the value of the following.   (a) 8 4 3 × ( 3 −2 ) 3 × 9 3 2     (b) 2 − 2 × 3 2 2 − 3 × 81     Solution: (a) 8 4 3 × ( 3 −2 ) 3 × 9 3 2 = … Read more

1.2.1 Indices, PT3 Practice Question 1:   (a) Simplify: a4 ÷ a7   (b)   Evaluate: ( 2 4 ) 1 2 × 3 1 2 × 12 1 2   Solution:   (a) a4 ÷ a7 = a4-7 = a-3 (b) ( 2 4 ) 1 2 × 3 1 2 × 12 1 2 … Read more

4.1 Indices 1.1.1 Indices 1.   A number expressed in the form an is known as an index notation. 2.   an is read as ‘a to the power of n’ where a is the base and n is the index. Example: 3.   If a is a real number and n is a positive integer, then … Read more