Question

Express each of the following numbers as a product of powers of their prime factors.

a. 36

b. 450

c.1800

d. 675
e 392
f.864​

Answer 1

Answer:

a. 2^2 * 3^2. b. 3^2 * 5^2 * 2. c. 2^3 * 3^2 * 5^2

d. 5^2 * 3^3. e. 2^3 * 7^2. f. 2^5 * 3^3

Step-by-step explanation:

a. 36 = 4 * 9 = (2^2) * (3^2)

b. 450 = 9 * 50 = 9 * 25 * 2 = (3^2) * (5^2) *2

c. 1800 = 18 * 100 = 9 * 2 * 25 * 4 = (2^3) * (3^2) * (5^2)

d. 675 = 25 * 27 = (5^2) * (3^3)

e. 392 = 8 * 49 = (2^3) * (7^2)

f. 864 = 32 * 27 = (2^5) * (3^3)

Answer 2

Answer:

a)=36-find the LCM of 36

the LCM of 36 is 2×2×3×3

2×2=4 3×3=9

=4×9=36

b)=450

find the LCM of 450

the LCM is 2×3×3×5×5

2×3×3=18 5×5=25

18×25=450