Question

Express each of the following as a product of prime factors in the exponential form:
729 × 64
384 × 147

Answer 1

Answer:

729 × 64: 3^6 * 2^6

384 × 147: 2^7 x 3^2 x 7^2

Step-by-step explanation:

729 × 64

729 = 3 x 3 x 3 x 3 x 3 x 3 = 3^6

64 = 2 x 2 x 2 x 2 x 2 x 2 = 2^6

= 3^6 * 2^6

384 × 147

384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 = 2^7 x 3^1

147 = 3 x 7 x 7 = 3^1 x 7^2

= 2^7 x 3^1 x 3^1 x 7^2

=2^7 x 3^2 x 7^2