a: ${}^{}\cdot {}^{}={}^{}={}^{}$

b: 64⋅83=24⋅34⋅29=213⋅3464⋅83=24⋅34⋅29=213⋅34

c: $16\cdot 81={}^{}$

d: ${}^{}\cdot {}^{}={}^{}$

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) 15⁸ x 9⁴

= 15⁸ x ( 3² )⁴

= 15⁸ x 3⁸

= ( 15 x 3 )⁸ = 45⁸

b) 4⁹ : 5²⁷

= 4⁹ : ( 5³ ) ⁹

= 4⁹ : 125⁹

= \(\left(\frac{4}{125}\right)^9\)

c) 20¹⁰ : 2²⁰

= 20¹⁰ : ( 2² )¹⁰

= 20¹⁰ : 4¹⁰ = ( 20 : 4 ) ¹⁰ = 5¹⁰

d) 27⁵ : ( -7 ) ¹⁵

= 27⁵ : [ ( - 7 )³ ]⁵

= 27⁵ : ( - 21 )⁵

= \(\left(\frac{27}{-21}\right)^5=\left(\frac{9}{-7}\right)^5\)

Cbht

a) 10⁸.2⁸ = (10.2)⁸ = 20⁸

b) 10⁸ : 2⁸ = (10 : 2)⁸ = 5⁸

a, 10⁸  . 2⁸ = ( 10.2 )⁸ = 20⁸

b,10⁸ : 2⁸ = ( 10:2 )⁸ = 5⁸

a . 10 mũ 8 . 2 mũ 8 = 10 . 2 mũ 8 = 20 mũ 8

b . 10 mũ 8 :2 mũ 8 =10 :2 mũ 8 =5 mũ 8

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) \(\left(\frac{1}{16}\right)^{25}\div\left(\frac{1}{2}\right)^{30}=\left(\frac{1}{2^4}\right)^{25}\div\left(\frac{1}{2}\right)^{30}=\left[\left(\frac{1}{2}\right)^4\right]^{25}\div\left(\frac{1}{2}\right)^{30}=\left(\frac{1}{2}\right)^{4.25}\div\left(\frac{1}{2}\right)^{30}\)

\(=\left(\frac{1}{2}\right)^{100}\div\left(\frac{1}{2}\right)^{30}=\left(\frac{1}{2}\right)^{100-30}=\left(\frac{1}{2}\right)^{70}\)

b) \(584^{100}\div292^{100}=\left(584-292\right)^{100}=292^{100}\)

c) \(125^4\cdot16^3=\left(5^3\right)^4\cdot\left(2^4\right)^3=5^{3\cdot4}\cdot2^{4\cdot3}=5^{12}\cdot2^{12}=\left(5+2\right)^{12}=7^{12}\)

câu trả lời: D

a: 26⋅33=(22⋅3)3=12326⋅33=(22⋅3)3=123

b: 64⋅83=24⋅34⋅29=213⋅3464⋅83=24⋅34⋅29=213⋅34

c: 16⋅81=36216⋅81=362

d: 254⋅28=1004

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

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

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

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