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
Answers
Step-by-step explanation:
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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: