Bài 6: 

a: \(2^{27}=8^9\)

\(3^{18}=9^9\)

b: Vì \(8^9< 9^9\)

nên \(2^{27}< 3^{18}\)

a) 5³ . 5² . 5 

= 5⁵ . 5 

= 5⁵ . 5¹

= 5⁶

b) 6⁹ : 6⁴ 

= 6⁵

c) 4 . 8 . 16 . 32 

= 2² . 2³ . 2⁴ . 2⁵

= 2⁵ . 2⁴ . 2⁵

= 2⁹ . 2⁵

= 2¹⁴ 

\(0,125^3.512\)

=\(\left(\dfrac{1}{8}\right)^3.8^3\)

= \(\dfrac{1}{8^3}.8^3\)

=\(6^3\)

  (0,125)³. 512

=  (0,125)³. 8³

= (0,125.8)³

= 1³

= \(\left(\dfrac{1}{1^{ }}\right)^3\)

a) 2² . 3² . 4²

b) 2² . 6 . 3² . 15 . 5²

cảm ơn dù ko bt đúng sai

a, 4.9.16 = 2².3².4² = 24²

b, 4.6.9.15.25 = 2².2.3.3².3.5.5² = 2³.3⁴.5³ = 3.30³

a) \(15^8\cdot2^4\)

\(=\left(15^2\right)^4\cdot2^4\)

\(=225^4\cdot2^4\)

\(=\left(225\cdot2\right)^4\)

\(=450^4\)

b) \(27^5:32^3\)

\(=\left(3^3\right)^5:\left(2^5\right)^3\)

\(=3^{15}:2^{15}\)

\(=\left(\dfrac{3}{2}\right)^{15}\)

254 . 28 = 58 . 28 = 108

158 . 94 = 158 . 38 = 458

108 : 28 = (10:2)8 = 58

272 : 253 = (33)2 : (52)3 

= 33.2 : 52.3

 = 36 :  5 6 = 3 5 6