Question

23 (1) Simplily the following and write in exponential form (3+3)x3
(II) What is the value of a number 3.71492 x 10 in usual form
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Question 2:

Simplify and express each of the following in exponential form:

(i)  (ii)  (iii)  

(iv)  (v)  (vi) 20 + 30 + 40

(vii) 20 × 30 × 40 (viii) (30 + 20) × 50 (ix)  

(x)  (xi)  (xii)  

ANSWER:

(i)

(ii) [(52)3 × 54] ÷ 57

= [52 × 3 × 54] ÷ 57 (am)n = amn

= [56 × 54] ÷ 57

= [56 + 4] ÷ 57 (am × an = am+n)

= 510 ÷ 57

= 510 − 7 (am ÷ an = am−n)

= 53

(iii) 254 ÷ 53 = (5 ×5)4 ÷ 53

= (52)4 ÷ 53

= 52 × 4 ÷ 53 (am)n = amn

= 58 ÷ 53

= 58 − 3 (am ÷ an = am−n)

= 55

(iv)

= 1 × 7 × 115 = 7 × 115

(v)

(vi) 20 + 30 + 40 = 1 + 1 + 1 = 3

(vii) 20 × 30 × 40 = 1 × 1 × 1 = 1

(viii) (30 + 20) × 50 = (1 + 1) × 1 = 2

(ix)

(x)

(xi)

(xii) (23 × 2)2 =  (am × an = am+n)

= (24)2 = 24 × 2 (am)n = amn

= 28

Step-by-step explanation: