 Hello students, let's work out the following question. It says express the following as product of parts of its prime factors. So let's proceed on to the solution. The given number is 648 and we have to express this number as product of parts of its prime factors. So what we need to do first, we need to find the prime factors of 648. So let's find out the prime factors of 648 by prime factorization method. The smallest prime number by which 648 can be divided is 2 since it's even number so it can be divided by 2. Dividing 648 by 2 gives us 324. Now again the smallest prime by which 324 can be divided is 2. Dividing 384 by 2 gives us 162. Again we divide 162 by 2 gives us 81. Now the smallest prime by which 81 can be divided is 3. Dividing 81 by 3 gives us 37. Again we divide 27 by 3 and it gives us 9. Dividing 9 by 3 gives us 3 and dividing 3 by 3 gives us 1. Therefore 648 can be written as 2 into 2 into 2 into 3 into 3 into 3 into 3. Now we are multiplying 2 3 times so the exponent form of 2 into 2 into 2 would be 2 raised to the power 3 and now we are multiplying 3 4 times so the exponent form of 3 into 3 into 3 would be 3 to the power 4. So we have expressed 648 as product of powers of its prime factors and it is raised to the power 3 into 3 raised to the power 4 and this completes the question. Bye for now take care have a good day.