Question

19. Express each of the following as the product of prime factors in exponential form:
(a) 1000 (b) 1800 (0) 3528 (d) 108 x 144 (e) 128 x 625
10. Find the value of x.​

Answer 1

Step-by-step explanation:

a) 1000

1000 = 2 × 2 × 2 × 5 × 5

1000 = 2^3 × 5^2

b) 1800

1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5

1800 = 2^3 × 3^2 × 5^2

c) 3528

3528 = 2 × 2 × 2 × 3 × 3 × 7 × 7

3528 = 2^3 × 3^2 × 7^2

d) 108 × 144

108 = 2 × 2 × 3 × 3 × 3

144 = 2 × 2 × 2 × 2 × 3 × 3

108 × 144 = 2 × 2 × 3 × 3 × 3 × 2 × 2 × 2 × 2 × 3 × 3

108 × 144 = 2^2 × 3^3 × 2^4 × 3^2

108 × 144 = 2^6 × 3^5

e) 128 × 625

128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2^7

625 = 5 × 5 × 5 × 5 = 5^4

128 × 625 = 2^7 × 5^4

hope you get your answer