a, 10⁸ . 2⁸ = (10.2)⁸ = 20⁸

b. 10⁸ : 2⁸ = (10:2)⁸= 5⁸

c, 25⁴ . 2⁸ = (5²)⁴ . 2⁸ = 5⁸ . 2⁸ = (5.2)⁸= 10⁸

d, 15⁸ . 9⁴ = 15⁸ . (3²)⁴ = 15⁸ . 3⁸ = (15.3)⁸ =  45⁸

e, 27² : 25³ = (3³)² : (5²)³ = 3⁶ : 5⁶ = (3:5)² = \(\left(\dfrac{3}{5}\right)^2\)

^Hoctot

254 . 28 = 58 . 28 = 108

108 : 28 = (10:2)8 = 58

272 : 253 = (33)2 : (52)3 

= 33.2 : 52.3

 = 36 :  5 6 = 3 5 6

\(0,125^3.512\)

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

= \(\dfrac{1}{8^3}.8^3\)

=\(6^3\)

  (0,125)³. 512

=  (0,125)³. 8³

= (0,125.8)³

= 1³

= \(\left(\dfrac{1}{1^{ }}\right)^3\)

25⁴ . 2⁸ = (5²)⁴ . 2⁸ = 5^2.4 . 2⁸ = 5⁸ . 2⁸ = (5 . 2)⁸ = 10⁸

25⁴.2⁸=(5²)⁴.2⁸=5⁸.2⁸=(5.2)⁸=10⁸=100000000

a) \(15^8\cdot2^4\)

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

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

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

\(=450^4\)

b) \(27^5:32^3\)

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

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

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

=10.2>8=20>8