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

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

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

\(0=0^2\)

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

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

1=1^2 ;125=5^3 ;-125=-5^3; 27=27^1; -27= -27^1

2: 5^2 25^1 

\(27\cdot5^3\cdot3^3\cdot32^{-1}:125=3^3\cdot5^3\cdot3^3\cdot\dfrac{1}{32}:5^3=\dfrac{3^6}{32}=\dfrac{3^6}{2^5}\)

\(a,2^5.8^4=2^5.2^{12}=2^{17}\)

\(b,25^6.125^3=5^{12}.5^9=5^{21}\)

\(c,625^5.25^7=5^{20}.5^{14}=5^{34}\)

\(d,12^3.3^3=\left(12.3\right)^3=36^3\)

a) 2⁵ . 8⁴ = 2⁵ . (2³)⁴ = 2⁵ . 2¹² = 2¹⁷

b) 25⁶ . 125³ = (5²)⁶ . (5³)³ = 5^12 _. 5⁹ = 5²¹

c) 625⁵ : 25⁷ = (25²)⁵ : 25⁷ = 25¹⁰ : 25⁷ = 25³

d) 12³ . 3³ = (12 . 3)³ = 36³

Trả lời:

\(a)\)\(2^5.8^4=2^5.\left(2^3\right)^4=2^5.2^{12}=2^{5+12}=2^{17}\)

\(b)\)\(25^6.125^3=\left(5^2\right)^6.\left(5^3\right)^3=5^{12}.5^9=5^{12+9}=5^{21}\)

\(c)\)Chưa rõ đề.

\(d)\)\(12^3.3^3=\left(12.3\right)^3=36^3\)

Ta có:

\(\begin{array}{l}125 = 5.5.5 = {5^3}\\3125 = 5.5.5.5.5 = {5^5}\end{array}\)

a) = (-3)³ . 2³. (-5)³ . (-4)³

= (-3 . 3 . (-5) . (-4) )³ 

= (-180)³

thế câu b) đâu bạn. giúp mik vs

b) = (-7) . 2³ . (-7)² . (-4)³ . (-10)³

= (-7 . 2 . (-4) . (-10))³

= -560³

64=2^6

128=2^7

125=5^3

625=5^4

81=3^4

243=3^5

1024=2^10

64=2⁴

128=2⁷

125=5³

625=5⁴

81=3⁴

243=3⁵

1024=2¹⁰

2^6 => 64

2^7 => 128

5^3=>125

5^4 => 625

3^4 => 81

3^5 => 243

2^10 => 1024

K NHA

ko ghi lại đề

\(=5^2.\left(5^3\right)^3.\left(5^4\right)^6\)

\(=5^2.5^9.5^{24}\)

\(=5^{35}\)

giúp mình câu b với

koo ghi lại đề

\(=\left(2^5\right)^n.\left(2^6\right)^3.\left(2^7\right)^3\)

\(=2^{5.n}.2^{18}.2^{21}\)

\(=2^{39+5.n}\)