Express each of the following as a product of prime factors only in exponential form: (i) 108 × 192 (ii) 270 (iii) 729 × 64 (iv) 768
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1)108 x 192 = (2*2*3*3*3)*(2*7*13)= 2^3 *3^3*13
2)270 = 2*3*3*3*5= 2*3^3 *5
3)729 x 64 = (3*3*3*3*3*3)*( 2*2*2*2*2*2)= 3^6* 2^6
4)768 = 2*2*2*2*2*2*2*2*3= 2^8 * 3
2)270 = 2*3*3*3*5= 2*3^3 *5
3)729 x 64 = (3*3*3*3*3*3)*( 2*2*2*2*2*2)= 3^6* 2^6
4)768 = 2*2*2*2*2*2*2*2*3= 2^8 * 3
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Answer: hope its help to you
Step-by-step explanation:
1)108 x 192 = (2*2*3*3*3)*(2*7*13)= 2^3 *3^3*13
2)270 = 2*3*3*3*5= 2*3^3 *5
3)729 x 64 = (3*3*3*3*3*3)*( 2*2*2*2*2*2)= 3^6* 2^6
4)768 = 2*2*2*2*2*2*2*2*3= 2^8 * 3
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