Trả lời:

a, \(15^8.9^4\)

\(=15^8.\left(3^2\right)^4\)

\(=15^8.3^8\)

\(=45^8\)

b, \(27^2:25^3\)

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

\(=3^6:5^6\)

\(=\left(\frac{3}{5}\right)^6\)

Hok Tốt!!!!

a. 15⁸ . 9⁴

= 15⁸ . (3²)⁴

= 15⁸.3⁸

= (15.3)⁸

= 45⁸

b. 27² : 25³

= (3³)² : (5²)³

= 3⁶ : 5⁶

= \(\left(\frac{3}{5}\right)^6\)

a: \(A=\left(2^3\right)^2\cdot\left(2^5\right)^4=2^6\cdot2^{20}=2^{26}\)

b: \(=\left(3^3\right)^3\cdot\left(3^2\right)^4\cdot3^5=3^9\cdot3^8\cdot3^5=3^{22}\)

\(A=8^2.32^4=\left(2^3\right)^2.\left(2^5\right)^4=2^6.2^{20}=2^{26}\)

\(B=27^3.9^4.243=\left(3^3\right)^3.\left(3^2\right)^4.3^5=3^9.3^8.3^5=3^{22}\)

2^27= (2^3)9=8^9

3^18= (3^2)^9= 9^9

2^27= (2^3)9=8^9

3^18= (3^2)^9= 9^9

= 8 mũ 9

= 9 mũ 9

4².8³ = (2²)².(2³)³ = 2⁴.2⁹ = 2¹³

9³.27² = (3²)³.(3³)² = 3⁶.3⁶ = 3¹²

8².25³ = (2³)².(5²)³ = 2⁶.5⁶ = (2.5)⁶ = 10⁶

a ) 4² . 8³ = ( 2² ) ² . ( 2³ ) ³ = 2^2.2 . 2^3.3 = 2⁴ . 2⁹ = 2⁴⁺⁹ = 2¹³

b ) 9³ . 27² = ( 3² ) ³ . ( 3³ ) ² = 3^2.3 . 3^3.2 = 3⁶ . 3⁶ = 3⁶⁺⁶ = 3¹²

4² . 8³ = ( 2² ) ² . ( 2³ ) ³

      = 2⁴ . 2⁹

       = 2¹³

9³ . 27² = ( 3² ) ³ . ( 3³ ) ²

            = 3⁶ . 3⁶

              = 3¹²

8^{2 .} 25³ = ( 2³ ) ² . ( 5² ) ³

           = 2⁶ . 5⁶

          = ( 2 . 5 ) ⁶

          = 10⁶

a: \(A=8^2\cdot32^4=2^6\cdot2^{20}=2^{26}\)

b: \(B=27^3\cdot9^4\cdot243=3^9\cdot3^8\cdot3^5=3^{22}\)

2²⁷=2^3.9=(2³)⁹=8⁹

3¹⁸=3^2.9=(3²)⁹=9⁹

b: \(2^{27}=8^9\)

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