Ta có: (-8).(-3)3.(+125)

= (-2)3 . (-3)3 . 53

= [(-2).(-3)]3.53 = 63 . 53

= (6.5)3 = 303

Ta có: 27.(-2)3.(-7).(+49)

= 33 . (-2)3 . (-7) . (-7)2

= 33 . (-2)3 . (-7)3 = [3 . (-2) . (-7)]3 = 423

(Lưu ý: 49 = (-7)) . (-7) = (-7)2

`a, 4.4.5.5.5=4^2 . 5^3`

`b, 2.2.2.2.3.3=2^4 . 3^2`

`c,3.3.3.7.7.7.7 = 3^3 .7^4`

`d,3.5.3.5.5 =3.3.5.5.5=3^2 .5^3`

`e, 6.6.6.6.3.3.2.2 = 6^4 . 3^2 .2^2`

Sai đeef, Viết gọn các tích sau bằng cách dùng lũy thừa

a)  \(7.7.7.7.7=7^5\)

b)  \(7.38.7.25=7^2.950\)

a) 7.7.7.49 = 7.7.7.7.7 = 7⁵

b) 7.38.7.25 =7.7.950 = 7.7.7.7.7.2+264= 7⁵.2+264

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

`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`

\(A=8^2.32^4\)

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

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

\(=2^{26}\)

\(B=27^3.9^4.243\)

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

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

\(=3^{22}\)

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
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