Ta có :

\(3.9^3.27^2=3.\left(3^2\right)^3.\left(3^3\right)^2\)

\(=3.3^6.3^6=3^{13}\)

3.9^3.27^2

= 3.(3^2)^3.(3^4)^2

=3.3^6.3^8

=3^15

\(\)\(3.9^3.27^2\)

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

\(=3.3^6.3^6\)

\(=3^{13}\)

Bài 6: 

a: \(2^{27}=8^9\)

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

b: Vì \(8^9< 9^9\)

nên \(2^{27}< 3^{18}\)

c) \(\left(\dfrac{5}{4}\right)^4:\left(\dfrac{15}{2}\right)^4=\left(\dfrac{5}{4}:\dfrac{15}{2}\right)^4=\left(\dfrac{1}{6}\right)^4\)

d) \(10^4:16=10^4:2^4=\left(10:2\right)^4=5^4\)

e) \(\left(-2\right)^3.125=\left(-2\right)^3.5^3=\left(-2.5\right)^3=-10^3\)

f) \(64^3:\left(-2\right)^9=64^3:\left(-8\right)^3=\left(64:-8\right)^3=-8^3\)

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 

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