a) 7⁶:7⁴ = 7⁶⁻⁴ = 7²

b) 1091¹⁰⁰: 1091¹⁰⁰ = 1091^100−100  = 1091⁰

a) 7⁶ : 7⁴=7²                          b) 1 091¹⁰⁰ : 1 091¹⁰⁰=1

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: \(8=2^3\)

\(125=5^3\)

\(27=3^3\)

\(64=8^2\)

\(81=9^2\)

\(1000=10^3\)

\(10000000=10^7\)

1000..000=10^k

b: \(7\cdot7\cdot7=7^3\)

\(7\cdot8\cdot7\cdot25=7^2\cdot200=70^2\cdot2^2\)

a) \(2^3;5^3;3^3;4^3;3^4;5^4;10^3;10^7;10^k3^4\)

\(a,125^5:25^3=\left(5^3\right)^5:\left(5^2\right)^3=5^{15-6}=5^9\)

\(b,27^6:9^3=\left(3^3\right)^6:\left(3^2\right)^3=3^{18-6}=3^{12}\)

\(c,4^{20}:2^{15}=\left(2^2\right)^{20}:2^{15}=2^{40-15}=2^{25}\)

\(d,24^n:2^{2n}=4^n.6^n:4^n=6^n\)

\(e,64^4.16^5:4^{20}=\left(2^6\right)^4.\left(2^4\right)^5:\left(2^2\right)^{20}=2^{24+20-40}=2^4=16\)

Chọn B

B 

=> \(^{2^8}\) = 256

B

a) 5³⁶ = 5¹² (5³)¹² = 125¹²; 11²⁴ = 11^2.12 = (11²)¹² = 121¹²

a: \(4^5\cdot8^7=2^{10}\cdot2^{21}=2^{31}\)

b: \(125^5\cdot25^3=5^{15}\cdot5^6=5^{21}\)

a) \(4^5\)x \(8^7\)

= \(\left(2^2\right)^5\) x \(\left(2^3\right)^7\)

= \(2^{10}\) x \(2^{21}\)

= \(2^{31}\)

b) \(125^5\) x \(25^3\)

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

= \(5^{15}\) x \(5^6\)

= \(5^{21}\)

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`