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

a) 3.3^4.3^5 = 3^10

b) 7^3 : 7^2 : 7 = 7^1

c) (x^4)^3 = x^12

a) \({2^m}{.2^n}=\underbrace {2.2 \ldots .2}_{m{\rm{ }}}{\rm{ }}.\underbrace {2.2 \ldots .2}_{n{\rm{ }}}{\rm{ }}\) = 2^m+n

b) \({3^m}:{3^n}=(\underbrace {3.3 \ldots .3}_{m{\rm{ }}}{\rm{ }}):(\underbrace {3.3 \ldots .3}_{n{\rm{ }}}{\rm{ }})\) = 3^m-n  với \(m \ge n\)

a. \(3^4.3^5=3^9\)

\(16.2^9=2^4.2^9=2^{13}\)

\(16.32=2^4.2^5=2^9\)

b. \(12^8.12=12^9\)

\(243:3^4=3^5:3^4=3\)

\(10^9:10000=10^9:10^4=10^5\)

c. \(4.8^6.2.8^3=2^2.2^{18}.2.2^9=2^{30}\)

\(12^2.2.12^3.6=12^2.12.12^3=12^6\)

\(6^3.2.6^4.3=6^3.6.6^4=6^8\)

he

a. 

16.29=24.29=21316.29=24.29=213

b. 

c. 4.86.2.83=22.218.2.29=2304.86.2.83=22.218.2.29=230

a) `7^4 .7^5 .7^6 = 7^(4+5+6)=7^(15)`

b) `(54:3^7) .324 =( 2.3^3 : 3^7).2^2 x3^4`

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

`= 2.2^2=2^3`

c) `[(8+2^2).10^100] : (10^0 .10^94)`

`=(12 . 10^100) : 10^94`

`=12 . (10^100 : 10^94)`

`=12 . 10^6`

d) `a^9 :a^9 = a^(9-9)=a^0`

a) 5³.5⁷ = 5³⁺⁷ = 5¹⁰

b) 2⁴.2⁵.2⁹=2⁴⁺⁵⁺⁹  = 2¹⁸

c) 10².10⁴.10⁶.10⁸ = 10^2+4+6+8 = 10²⁰.

a) 5³.5⁷=5¹⁰               b) 2⁴ . 2⁸. 2⁹=2¹⁸         c) 10². 10⁴. 10⁶. 10⁸=10²⁰

A = 3 2 . 5 2 - 4 2 = 7 = 126 = 6 3

C = 5 . 4 3 + 2 4 . 5 = 400 = 20 2

Chọn B

B 

=> \(^{2^8}\) = 256

B

a)  \(\frac{6}{5}.{\left( {1,2} \right)^8} = 1,2.{(1,2)^8} = {(1,2)^{1 + 8}} = {(1,2)^9}\)

b) \({\left( {\frac{{ - 4}}{9}} \right)^7}:\frac{{16}}{{81}} = {\left( {\frac{{ - 4}}{9}} \right)^7}:{\left( {\frac{{ - 4}}{9}} \right)^2} = {\left( {\frac{{ - 4}}{9}} \right)^{7 - 2}} = {\left( {\frac{{ - 4}}{9}} \right)^5}\)