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Exponents (powers) are just a way of notating repeated factors.

The prime factorization of 72 is 2 x 2 x 2 x 3 x 3

The prime factorization of 72 is 2^3 x 3^2

Q: How do you express a number as the product of its powers of its prime factors?

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108 = 3 x 3 x 3 x 2 x 2

When calculating the LCM of a set of numbers, firstly express each number as a product of its prime factors. 29 = 29 (it is a prime number) 145 = 5 x 29 The LCM is the product of the highest power of each prime factor which gives us 5 & 29. (Note : In this example we do not have powers such as 5³ or 29²) The Lowest (or Least)Common Multiple is therefore 5 x 29 = 145

24 = 23 x 3

225 = 32 x 52

Even powers of prime numbers. Square numbers have an odd number of factors.

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You factor the number into prime factors, dividing each prime out.

24 = 23 x 31

It is: 23*31*51 = 120

108 = 3 x 3 x 3 x 2 x 2

When calculating the LCM of a set of numbers, firstly express each number as a product of its prime factors. 29 = 29 (it is a prime number) 145 = 5 x 29 The LCM is the product of the highest power of each prime factor which gives us 5 & 29. (Note : In this example we do not have powers such as 5³ or 29²) The Lowest (or Least)Common Multiple is therefore 5 x 29 = 145

24 = 23 x 3

225 = 32 x 52

Even powers of prime numbers. Square numbers have an odd number of factors.

Implied powers are congress exercised powers which are not given explicitly by the constitution. While express powers are the powers which is given by the constitution.

It is the integral power of the number or the product of the number and variable(s). there is no special name.

Powers of primes

32 x 72 = 441