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

(-8).(-3).(+125)

= (-2)³.(-3)¹.(+5)³

Trả lời :

( - 8 ) . ( -3 ) . ( + 125 )

=( -2)³. ( -3 ) ¹ . 5³

Học tốt !

a. \(\left(-8\right).\left(-3\right)^3.125=\left(-2\right)^3.\left(-3\right)^3.5^3=\left[\left(-2\right).\left(-3\right).5\right]^3=30^3\)

b. \(27.\left(-2\right)^3.\left(-7\right).49=3^3.\left(-2\right)^3.\left(-7\right)^3=\left[3.\left(-2\right).\left(-7\right)\right]^3=42^3\)

a)=(-2)³.(-3)³.5³

 =[(-2)(-3)5]²

 =30³

b)=3³.(-2)³.(-7)(-7)²

   =3³.(-2)³.(-7)³

   =[3(-2)(-7)]³

   =42³

a, (-2)³ . (-3)³ . 5³ 

(-2.-3.5)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`

\(A=8^2.32^4\)

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

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

\(=2^{26}\)

\(B=27^3.9^4.243\)

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

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

\(=3^{22}\)

Giải

a) (−8).(−3)3.(+125)(−8).(−3)3.(+125)

= [(−2).(−2).(−2)].[(−3).(−3).(−3)].(5.5.5)[(−2).(−2).(−2)].[(−3).(−3).(−3)].(5.5.5)

= [(−2).(−3).5].[(−2).(−3).5].[(−2).(−3).5][(−2).(−3).5].[(−2).(−3).5].[(−2).(−3).5]

= 30.30.30=30330.30.30=303

b) 27.(−2)3.(−7).(+49)27.(−2)3.(−7).(+49)

= (3.3.3).[(−2).(−2).(−2)].[(−7).(−7).(−7)](3.3.3).[(−2).(−2).(−2)].[(−7).(−7).(−7)]

= [3.(−2).(−7)].[3.(−2).(−7)].[3.(−2).(−7)][3.(−2).(−7)].[3.(−2).(−7)].[3.(−2).(−7)]

= 42.42.42=423

\(\dfrac{9}{25}=\left(\dfrac{3}{5}\right)^2\)

\(\dfrac{8}{27}=\left(\dfrac{2}{3}\right)^3\)

\(\dfrac{-125}{64}=\left(-\dfrac{5}{4}\right)^3\)

\(0=0^2\)

\(-27=\left(-3\right)^3\)

\(\dfrac{16}{81}=\left(\dfrac{2}{3}\right)^4\)

bai toán này kho lắm

tớ cũng đanh thắc mắc câu này

125 = 53; -125=(-5)3;27=33; -27= (-3)3