a) 9 . 9 . 9 . 9 . 9 = 9⁵

b) 10 . 10 . 10 . 10 = \(10^4\)

c) 5.5.5.25=5.5.5.5.5=\(5^5\)      

d) a.a.a.a.a.a=\(a^6\)

a) 9.9.9.9.9=9⁵                   b) 10. 10. 10. 10=10⁴

c) 5.5.5.25=5.5.5.5.5=5⁵                      d) a.a.a.a.a.a=a⁶

\(a,=5^{40}\cdot5^{12}=5^{52}\\ b,=x^{7+4+3}=x^{14}\\ c,=\left(3\cdot4\right)^6=12^6\)

a) \(25^{20}.125^4=\left(5^2\right)^{20}.\left(5^3\right)^4=5^{40}.5^{12}=5^{40+12}=5^{52}\)

b) \(x^7.x^4.x^3=x^{7+4+3}=x^{14}\)

c) \(3^6.4^6=\left(3.4\right)^6=12^6\)

viết các tích sau dưới dạng 1 luỹ thừa:

a(    25^20 . 125^4 = (5²)²⁰ . (5³)⁴ = 5⁴⁰ . 5¹² = 5⁵²

b(     x^7 . x^4 . x^3 = x⁷⁺⁴⁺³ = x¹⁴

c(     3^6 . 4^6 = (3.4)⁶=12^6
??

a) 7⁶:7⁴ = 7⁶⁻⁴ = 7²

b) 1091¹⁰⁰: 1091¹⁰⁰ = 1091^100−100  = 1091⁰

a) 7⁶ : 7⁴=7²                          b) 1 091¹⁰⁰ : 1 091¹⁰⁰=1

a) \(2^{36}\)

b) \(3^{30}\)

c) \(3^9\)

d) \(2^{18}\)

a) 4⁸.2²⁰=(2²)⁸.2²⁰=2¹⁶.2²⁰=2³⁶

b) 9¹².27²=(3²)¹².(3³)²=3²⁴.3⁶=3³⁰

c) 3⁶.3².3=3⁹

d) 4⁵.16²=(2²)⁵.(2⁴)²=2¹⁰.2⁸=2¹⁸

a) 2.2.2.3.3 = 2³ . 3²

b) x4.x = x² . 4

a) 2.2.2.3.3 = 2³ . 3²

b) x4.x = x² . 4

a) 2.2.2.3.3 = 2³ . 3²

b) x4.x = x² . 4

a) 2³.3²

b) x²4¹

Ta có: (-8).(-3)3.(+125)

= (-2)3 . (-3)3 . 53

= [(-2).(-3)]3.53 = 63 . 53

= (6.5)3 = 303

\(A=8^2\cdot32^4\\ =2^6\cdot2^{20}\\ =2^{26}\\ B=27^3\cdot9^4\cdot243\\ =3^9\cdot3^{12}\cdot3^5\\ =3^{26}\)

`A=8^2*32^4=(2^3)^2*(2^5)^4=2^6*2^20=2^26`

`B=27^3*9^4*243=(3^3)^3*(3^2)^4*3^5=3^9*3^8*3^5=3^22`

\(A=8^2.32^4\)

\(=\left(2^3\right)^2.\left(2^5\right)^4\)

\(=2^6.2^{20}\)

\(=2^{26}\)

\(B=27^3.9^4.243\)

\(=\left(3^3\right)^3.\left(3^2\right)^4.3^5\)

\(=3^9.3^8.3^5\)

\(=3^{22}\)