a,  4 8 . 4 10 = 4 18

b,  2 20 . 2 7 = 2 27

c,  5 12 . 5 5 . 5 4 = 5 21

d,  4 3 . 4 5 . 4 5 = 4 13

e,  8 6 . 8 5 . 8 5 = 8 16

f,  x 7 . x 4 . x 3 = x 14

\(a,4^8.2^{20}=\left(2^2\right)^8.2^{20}=2^{16}.2^{20}=2^{16+20}=2^{36}\\ b,9^{12}.27^5.81^4=\left(3^2\right)^{12}.\left(3^3\right)^5.\left(3^4\right)^4=3^{24}.3^{15}.3^{16}=3^{24+15+16}=3^{55}\\ d,25^{20}.125^4=\left(5^2\right)^{20}.\left(5^3\right)^4=5^{40}.5^{12}=5^{40+12}=5^{52}\\ d,x^7.x^4.x^3=x^{7+4+3}=x^{14}\)

a: 4*8*2^20=2^2*2^3*2^20=2^25

b: 9^12*27^5*81^4=3^24*3^15*3^16=3^55

c: 25^20*125^4=5^40*5^12=5^52

d: =x^(7+4+3)=x^14

x10 = x3 . x7

a: 6*6*6*6*6=6^5

b: 25*25*25*5=5^2*5^2*5^2*5=5^7

c: 8*2*2*16*4

=2^3*2^2*2^4*2^2

=2^11

d: \(3\cdot3\cdot3\cdot15\cdot5\cdot5\cdot5=15\cdot15\cdot15\cdot15=15^4\)

\(x^8:x^7:x=x^1:x=1^1\)

x⁸:x⁷:x=x^8-7-1=x⁰=1

x⁸ : x⁷ 

c. x 17 : x 12 = x 5

100.2.5
➩10³.10⁰
➩10³

\(100\cdot2\cdot5=10^2\cdot10=10^3\)

a, 6 9 : 6 7 = 6 9 - 7 = 6 2

b,  7 5 : 7 2 = 7 5 - 2 = 7 3

c,  11 8 : 11 3 : 11 2 = 11 8 - 3 - 2 = 11 3

d,  x 8 : x 7 : x = x 8 - 7 - 1 = x 0 = 1