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The exponential form of 3x3x5x5x5 is 3^2 * 5^3. This is because we can rewrite the repeated factors as powers of the base numbers. In this case, there are 2 factors of 3 and 3 factors of 5, so we express it as 3^2 (3 squared) times 5^3 (5 cubed).
All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.Example: 210210 Divide by two.105,2 Divide by three.35,3,2 Divide by five.7,5,3,2 Stop. All the factors are prime.2 x 3 x 5 x 7 = 210That's the prime factorization of 210.