\(a,\left(-7\right)^6\)
\(b,\left(-4\right)^3.\left(-5\right)^3=\left[\left(-4\right).\left(-5\right)\right]^3=20^3\)

(-7).(-7).(-7).(-7).(-7).(-7) = (-7)6

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

`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)=(-5)⁶=5⁶

b)=(-6)³.(-7)³=[(-6)(-7)]³=42³

c)=(-3).(-3)⁴.(-7)³(-7)².(-2).(-2)⁴

  =(-3)⁵.(-7)⁵.(-2)⁵

  =[(-3)(-7)(-2)]⁵

  =(-42)⁵

a,(-5)^6=5^6

b,(-6)^3.(-7)^3

c,tg tu

a)

\({5^7}{.5^5} = 5^{7+5}={5^{12}}\)

\({9^5} :{8^0} = {9^5}:1 = {9^5}\)

\(2^{10}:64.16 = 2^{10}:2^6.2^4 = 2^{10-6+4} = 2^8\)

b)

\(\begin{array}{l}54297 = 5.10000 + 4.1000 + 2.100 + 9.10 + 7\\ = {5.10^4} + {4.10^3} + {2.10^2} + 9.10 + 7\end{array}\)

\(\begin{array}{l}2023 = 2.1000 +0.100+2.10 + 3\\ = {2.10^3}+ 2.10 +3\end{array}\)

a. (-2).(-2).(-2).(-2).(-2).(-2) = (-2)⁶

b. (-4).(-4).(-4).(-4).(-5).(-5).(-5).(-5) = (-4)⁴.(-5)⁴=20⁴

c. (-8).(-3)³.(-27) = (-2)³.(-3)³.(-3)³ = (-2)³.9³ = (-18)³ 

d. (+49).(+7).(-2)³.27 = 7².7.(-2)³.3³ = 7³.(-2)³.3³ = (-42)³

a) (-2) . (-2) . (-2) . (-2) . (-2) . (-2)

=  (-2)\(^6\)

b) (-4) . (-4) . (-4) . (-4) . (-5) . (-5) . (-5) . (-5)

=  (-4)\(^4\). (-5)\(^4\)

c) (-8) . (-3)\(^3\). (-27)

=  (-2) . (-2) . (-2) . (-27) . (-27)

=  (-2)\(^3\) . (-27)\(^2\)

d) 49 . 7 . (-2)\(^3\). 27

=  7 . 7 . 7 . (-2)\(^3\). 3 . 3 . 3

=  7\(^3\). (-2)\(^3\). 3\(^3\)

chúc bạn học tốt!!!

Ta có: (-8).(-3)3.(+125)

= (-2)3 . (-3)3 . 53

= [(-2).(-3)]3.53 = 63 . 53

= (6.5)3 = 303

bai toán này kho lắm

tớ cũng đanh thắc mắc câu này

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