.........................................mm
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Here it is
....
2^8×3^4
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Solution :
2| 108
_____
2 | 54
_____
3 | 27
_____
3 | 9
_____
*****3
108 = 2² × 3³
2 | 192
______
3 | 81
______
3 | 27
______
3 | 9
______
****3
192 = 2 × 3⁴
Now,
108 × 192
= 2³ × 3³ × 2 × 3⁴
= 2⁴ × 3^7
••••
2| 108
_____
2 | 54
_____
3 | 27
_____
3 | 9
_____
*****3
108 = 2² × 3³
2 | 192
______
3 | 81
______
3 | 27
______
3 | 9
______
****3
192 = 2 × 3⁴
Now,
108 × 192
= 2³ × 3³ × 2 × 3⁴
= 2⁴ × 3^7
••••
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