`@` `\text {Ans}`

`\downarrow`

`a)`

`16^3 = (4^2)^3 = 4^6` 

`b)`

`25^6 = (5^2)^6 = 5^12`

`c)`

`81^5 = (9^2)^5 = 9^10`

`d)`

`27^5 = (3^3)^5 = 3^15`

`e)`

`64^3*16^3`

`= (4^3)^3*(4^2)^3`

`= 4^9*4^6`

`= 4^15`

_____

`@` Nâng lên lũy thừa

CT: `(a^m)^n=a^m*a^n = a^(m*n)`

C

C

c

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

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

1)Đưa về lũy thừa cùng cơ số 2

8²=  \(\left(2^3\right)^2=2^6\)        32³= \(\left(2^5\right)^3=2^{15}\)          64⁴= \(\left(2^6\right)^4=2^{24}\)       4³= \(\left(2^2\right)^{^3}=2^6\)

2)Đưa về lũy thừa cùng cơ số 3

9³= \(\left(3^2\right)^3=3^6\)       27⁴=  \(\left(3^3\right)^4=3^{12}\)      9⁵= \(\left(3^2\right)^5=3^{10}\)      81⁶=   \(\left(3^4\right)^6=3^{24}\)

3)Đưa về lũy thừa cùng cơ số 2

 8³:4²= \(\left(2^3\right)^3:\left(2^2\right)^2=2^9:2^4=2^5\)    16²:32= \(\left(2^4\right)^2:2^5=2^8:2^5=2^3\)    

\(64^4:4^3=\left(2^6\right)^4:\left(2^2\right)^3=2^{24}:2^6=2^{18}\)    32³:8²= \(\left(2^5\right)^3:\left(2^3\right)^2=2^{15}:2^6=2^9\)

Bạn giải nốt hộ mình câu 4,,5,6 mình cảm ơn nhìu

4)Đưa về lũy thừa cùng cơ số 3

27⁴:9³=\(\left(3^3\right)^4:\left(3^2\right)^3=3^{12}:3^6=3^6\)    81^6:9⁵=  \(\left(3^4\right)^6:\left(3^2\right)^5=3^{24}:3^{10}=3^{14}\)   

9⁶ .27⁴:81⁵=\(\left(3^2\right)^6.\left(3^3\right)^4:\left(3^4\right)^5=3^{12}.3^{12}:3^{20}=3^4\)

5)Đưa về lũy thừa cùng cơ số 5

25⁷=  \(\left(5^2\right)^7=5^{14}\)    125³=  \(\left(5^3\right)^3=5^9\)   25⁷:5⁶=  \(\left(5^2\right)^7:5^6=5^{14}:5^6=5^8\)

125⁶:25⁷= \(\left(5^3\right)^6:\left(5^2\right)^7=5^{18}:5^{14}=5^4\)

6)Đưa về lũy thừa cùng cơ số 4

16²= \(\left(4^2\right)^2=4^4\)     64³=\(\left(4^3\right)^3=4^9\)      (128:2)³=\(64^3=\left(4^3\right)^3=4^9\)     2².2²=\(4.4=4^2\)

Ta có; 9²=(3²)²=3⁴

27⁴=(3³)⁴=3¹²

81²=(3⁴)²=3⁸

243²=(3⁵)²=3¹⁰

Ta có :

+) \(9^2=\left(3^2\right)^2=3^4\)

+) \(27^4=\left(3^3\right)^4=3^{12}\)

+) \(81^2=\left(3^4\right)^2=3^8\)

+) \(243^2=\left(3^5\right)^2=3^{10}\)

_Chúc bạn học tốt_

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

`@` `\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.

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

64=2^6

128=2^7

125=5^3

625=5^4

81=3^4

243=3^5

1024=2^10

64=2⁴

128=2⁷

125=5³

625=5⁴

81=3⁴

243=3⁵

1024=2¹⁰

2^6 => 64

2^7 => 128

5^3=>125

5^4 => 625

3^4 => 81

3^5 => 243

2^10 => 1024

K NHA