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Q.3.   Express each of the following numbers using exponential notation:

         (i) 512    (ii) 343    (iii) 729    (iv) 3125

         

 

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(i) 512

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

512=2\times 2\times2 \times2 \times 2\times 2\times2 \times 2\times 2=2^9

(ii) 343

7 343
7 49
7 7
 

1

343=7\times 7\times 7=7^3

(iii)729

3 729
3 243
3 81
3 27
3 9
3 3
  1

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

3125=5\times 5\times 5\times 5\times 5=5^5

 

 

 

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