Question

Compare the following numbers:
(i) 2.7 × 1012 ; 1.5 × 108
(ii) 4 × 1014 ; 3 × 1017

Using laws of exponents, simplify and write the answer in
exponential form:
(i) 32 × 34 × 38
ii) 615 ÷ 610
(iii) a3 × a2
iv) 7x × 72
(v) (52)
3 ÷ 53

Simplify
(i) (–2)
3 × (–10)
3

(ii) (–3)
2 × (–5)
2

Simplify and express each of the following in exponential form:
(i) (23 × 34 × 4)/ (3 × 32)
(ii) ((52)

3 × 54) ÷ 57

Answer 1

Answer:

1. 2.7×1012=2732.4

2. 1.5×108=162

3. 4×1014=4056

4. 3×1017=3051

simplify

(i) (–2)

3 × (–10)3

=-6×-30

=180

(ii) (–3)

2 × (–5)2

= -6 × -10

=60