Q80 of 111 Page 337

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

(a) 9000


(b) 2025


(c) 800

(a) 9000 = 5 × 5 × 5 × 3 × 3 × 2 × 2 × 2


9000 = 53 × 32 × 23


(b) 2025 = 5 × 5 × 3 × 3 ×3 × 3


2025 = 52 × 34


(c) 800 = 2 × 2 × 2 × 10 × 10


800 = 2 × 2 × 2 × 5 × 2 × 5 × 2


800 = 25 × 52


More from this chapter

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78

Express each of the following numbers using exponential notations:

(a) 1024


(b) 1029


(c)

79

Identify the greater number, in each of the following:

(a) 26 or 62


(b) 29 or 92


(c) 7.9 × 104 or 5.28 × 105

 81

Express each of the following in single exponential form:

(a) 23 × 33


(b) 24 × 42


(c) 52 × 72


(d) (– 5)5 × (–5)


(e) (– 3)3 × (– 10)3


(f) (– 11)2 × (– 2)2

 82

Express the following numbers in standard form:

76, 47, 000