Question

Express 729x64as a product of prime factors only in exponential form.​

Answer 1

Answer:

3^6 x 2^6

Step-by-step explanation:

729x64 =

729  3

243  3

81    3

27   3

9     3

3     3

Thus, 729 = 3 x 3 x 3 x 3 x 3 x 3

= 3^6

64   2

32   2

16   2

8    2

4    2

2    2

Thus, 64= 2 x 2 x 2 x 2 x 2 x 2

=2^6

Thus, 729x64 = 3^6 x 2^6