CBSE Class 9 Answered
2 to the power 70 + 3 to the power 70 is divisible by which of these-a-13 b-32 -c-70 d-23
Asked by architsrivastava02 | 09 Sep, 2010, 04:07: PM
Expert Answer
Dear Student
270+370 is divisible by 13.
Here i sthe solution
| n | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| 2^n mod 13 | 1 | 2 | 4 | -5 | 3 | 6 | -1 |
| 3^n mod 13 | 1 | 3 | -4 | 1 |
'congmod( 3^70 = (3^(3*23+1)) = ((3^3)^23)*3, (1^23) * 3 = (1*3) = (3, 13 )
So 'congmod( 2^70 + 3^70, (_3 + 3),13 = 0, 13
Hence the number is divisible by 13
Answered by | 16 Sep, 2010, 10:06: AM
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