Question

express each of the following as a product of powers of primes,I.e,in exponential form: (I) 429 (ii) 648 (iii) 1512

Answer 1

I hope it will help you

Answer 2

Answer:  1) 429 as a product of powers of primes

= 3 × 11 × 13

2) 648 as a product of powers of primes

= $2^2 \times 3^4$

3) 1512 as a product of powers of primes

= $2^3\times 3^3\times 7$

Step-by-step explanation:

Prime numbers is a whole number greater than 1 whose only factors are 1 and itself.

1) Since, the factor of 429 = 3 × 11 × 13

Where all 3, 11 and 13 are prime numbers.

2) The factors of 648 = 2 × 2 × 3 × 3 × 3 × 3 = $2^2 \times 3^4$

Where, 2 and 3 are primes.

3) The factors of 1512 = 2 × 2 × 2 × 3 × 3 × 3 × 7 = $2^3\times 3^3\times 7$

Where 2, 3 and 7 are primes.