question_answer 1)

Express each of the following numbers using exponential notation:

Answer:

                (i) 512                

2	512
2	256
2	128
2	64
2	32
2	16
2	8
2	4
2	2
	1

\[\therefore \]  \[512=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\]                 \[={{2}^{9}}\]                 (ii) 343                

7	343
7	49
7	7
	1

\[\therefore \]  \[343=7\times 7\times 7={{7}^{3}}\] (iii) 729

3	729
3	243
3	81
3	27
3	9
3	3
	1

\[\therefore \]  \[729=3\times 3\times 3\times 3\times 3\times 3={{3}^{6}}\] (iv) 3125

5	3125
5	625
5	125
5	25
5	5
	1

\[\therefore \]  \[3125=5\times 5\times 5\times 5\times 5={{5}^{5}}\]