`@` `\text {Ans}`

`\downarrow`

`a,`

`4*8`

`= 2^2*2^3`

`=`\(2^{2+3}=2^5\)

`b,`

`4^5*4^4*4`

`=`\(4^{5+4+1}=4^{10}\)

`c,`

\(x^5\cdot x=x^{5+1}=x^6\)

`d,`

\(9\cdot27=3^2\cdot3^3=3^{2+3}=3^5\)

`e,`

\(243\div81=3^5\div3^4=3\)

`g,`

\(625\div25=5^4\div5^2=5^2\)

`@` `\text {Kaizuu lv uuu}`

a) \(4\cdot8=2^2\cdot2^3\)

\(=2^{2+3}=2^5=32\)

b) \(4^5\cdot4^4\cdot4\)

\(=4^{5+4+1}=4^{10}\)

c) \(x^5\cdot x\)

\(=x^{5+1}=x^6\)

d) \(9\cdot27=3^2\cdot3^3\)

\(=3^{2+3}=3^5\)

e) \(243:81=3^5:3^4\)

\(=3^{5-4}=3^1=3\)

g) \(625:25=5^4:5^2\)

\(=5^{4-2}=5^2=25\)

Lời giải:

a. $4.8=2^2.2^3=2^5$

b. $4^5.4^4.4=4^{5+4+1}=4^{10}$

c. 4x^5.x=x^{5+1}=x^6$

d. $9.27=3^2.3^3=3^{2+3}=3^5$

e. $243:81=3^5:3^4=3^{5-4}=3$
g.

$625:25=5^4:5^2=5^{4-2}=5^2$

a. =(5⁴:5):(5².5)

=5⁵:5³

=5²

b.= (3⁴.3³.3²):(3⁵.3)

=3⁹:3⁶

=3³

d. = 8.125.8.25.8.5.25.2.5

= 2³.5³.2³.5².2³.5.5².2.5

=2¹⁰.5⁹

đúng nha

a; ( 625 : 5) : ( 125 . 5)

 =  ( 5^4 : 5) :  ( 5^3 . 5)

= 5^3 : 5^4

= 1/5

b; (8 1 . 27 . 9 ) : ( 243 . 3)

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

= 3^9 : 3^ 5

=3^4

c, 1000 x 200 x 40 x 25 

= 1000 x ( 40x 250) x 200

= 1000 x 10000 x 200

= 2000000000

a,  3 2

b,  3 2

c,  3 1

d,  5 2

e,  10 3

f,  12 0

a)  3 2   

b) 3 2

c) 3 1      

d)  5 2

e) 10 3

f)  12 0  

Biến đổi lũy thừa về lũy thừa có cơ số 3 

a) 9^4

b) 27^3

c) 81^5

d) 243^6

9⁴ = (3²)⁴ = 3⁸

27³ = (3³)³ = 3⁹

81⁵ = (3⁴)⁵ = 3²⁰

243⁶ = (3⁵)⁶ = 3³⁰

a)  2 3

b) 3

c) 5

d)  10 2

a ) 6 4 : 2 3 = 2 6 - 2 3 = 2 3 b ) 243 : 3 4 = 3 5 : 3 4 = 3 1 c ) 635 : 5 3 = 5 4 : 5 3 = 5 1 d ) 7 5 : 343 = 7 5 : 7 3 = 7 2