Question

(1 4 + 5 + 6
in exponential form
(17) 4 , 5 6
1) (+ 4
S'
54x5
(vi) x3y
(1) {(6%)* 6}+6" (
(10)+10
Find the value of
(10)+10
4" x 29 x (8)
8, find the value of n
2 x (16)
implify (5° * 3° +7° 8') 4°
implify [(94) * 3") * 2
125 x 8' x 1000
implify
8 x 5' x10?
kpress each of the following as a product of prime factors only in the exponential form
1) 125 x 64 (in) 121 x 243 (l) 3087
(iv) 2160
ents and Powers​

Answer 1

Answer:

(i) 32 × 34 × 38 = (3)2 + 4 + 8 (am × an = am+n)

= 314

(ii) 615 ÷ 610 = (6)15 − 10 (am ÷ an = am−n)

= 65

(iii) a3 × a2 = a(3 + 2) (am × an = am+n)

= a5

(iv) 7x + 72 = 7x + 2 (am × an = am+n)

(v) (52)3 ÷ 53

= 52 × 3 ÷ 53 (am)n = amn

= 56 ÷ 53

= 5(6 − 3) (am ÷ an = am−n)

= 53

(vi) 25 × 55

= (2 × 5)5 [am × bm = (a × b)m]

= 105

(vii) a4 × b4

= (ab)4 [am × bm = (a × b)m]

(viii) (34)3 = 34 × 3 = 312 (am)n = amn

(ix) (220 ÷ 215) × 23

= (220 − 15) × 23 (am ÷ an = am−n)

= 25 × 23

= (25 + 3) (am × an = am+n)

= 28

(x) 8t ÷ 82 = 8(t − 2) (am ÷ an = am−n)