a) \(4^8\cdot4^4=\left(2^2\right)^8\cdot\left(2^2\right)^4=2^{16}\cdot2^8=2^{16+8}=2^{24}\)

b) \(5^{12}\cdot7-5^{11}\cdot10\)

\(=5^{11}\cdot\left(5\cdot7-10\right)=5^{11}\cdot\left(35-10\right)=5^{11}\cdot25\)

\(=5^{11}\cdot5^2=5^{11+2}=5^{13}\)

d) \(27^{16}:9^{10}\)

\(=\left(3^3\right)^{16}:\left(3^2\right)^{10}=3^{48}:3^{20}=3^{48-20}=3^{28}\)

e) \(125^3:25^4=\left(5^3\right)^3:\left(5^2\right)^4=5^9:5^8=5^{9-8}=5\)

f) \(24^4:3^4-32^{12}:16^{12}\)

\(=\left(24:4\right)^4-\left(32:16\right)^{12}\)

\(=6^4-2^{12}\)

\(=2^4\cdot\left(3^4-2^8\right)=2^4\cdot-175=-2800\)

a,18³:9³=(18-9)³=729

b,còn lại tự làm ,làm mẫu đến đây thôi

l.i.k.e cho mình nha Nguyen vu dang nguyen

18³: 9³=8

C) 213

D)0

a, 18^3 : 9^3 = 5832 : 729 = 8

a) 18^3 _:  9 ³ = ( 18 : 9 ) ³ = 2³ = 8

b) 125³ : 25³ = 5³ = 125

b, 125^3 : 25^3 = 1953125 : 15625 = 125

cớ để mik hỏi hộ cho đừng có lo

a) \(125^3:25^4=\left(5^3\right)^3:\left(5^2\right)^4=5^9:5^8=5\)

b) \(\left(10^3+10^4+125^2\right):5^3\)

\(=\left[\left(5.2\right)^3+\left(5.2\right)^4+\left(5^3\right)^2\right]:5^3\)

\(=\left(5^3.2^3+5^4.2^4+5^6\right):5^3\)

\(=\frac{5^3.2^3}{5^3}+\frac{5^4.2^4}{5^3}+\frac{5^6}{5^3}\)

\(=2^3+5.2^4+5^3=213\)

c) \(24^4:3^4-32^{12}:16^{12}\)

\(=\left(3.8\right)^4:3^4-\left(16.2\right)^{12}:16^{12}\)

\(=3^4.8^4:3^4-2^{12}.16^{12}:16^{12}\)

\(=8^4-2^{12}=\left(2^3\right)^4-2^{12}=2^{12}-2^{12}=0\)

Bạn ơi, cái này chỉ cần tư duy là nó dễ ngay đấy. Sorry vì máy mik k loắt nhanh nên mik k giải giúp bạn được ạ* cúi đầu*

a, 4¹⁰. 2³⁰=2²⁰.2³⁰=2⁵⁰

b,9²⁵.27⁴.81³= 3⁵⁰.3¹².3¹²=3⁷⁴

Tương tự các câu khác....

a, 4¹⁰.2³⁰ = (2²)¹⁰.2³⁰ = 2²⁰.2³⁰ = 2⁵⁰
b, 9²⁵.27⁴.81³ = (3²)²⁵.(3³)⁴.(3⁴)³ = 3⁵⁰.3¹².3¹² = 3⁷⁴
c, 25⁵⁰.125⁵ = (5²)⁵⁰.(5³)⁵ = 5¹⁰⁰.5¹⁵ = 5¹¹⁵
d, 64³.4⁸.16⁴ = (2⁶)³.(2²)⁸.(2⁴)⁴ = 2¹⁸.2¹⁶.2¹⁶ = 2⁵⁰
e, 3⁸ : 3⁶ = 3²
2¹⁰ : 8³ = 2¹⁰ : (2³)³ = 2¹⁰ : 2⁹ = 2
12⁷ : 6⁷ = (12 : 6)⁷ = 2⁷
@Dương Tuyết Mai

a)2.13.15=(2.15).13

=30.13

=390

a, =7^(8-6)= 7^2

b,=(18-9)^3=9^3

Thanks các bn nha ! 

$a,$

$2^{20}.15+2^{10}.85$

$=2^{20}.2^{10}.85+15$

$=2^{30}.100$

$=2^{30}{.10}^2$    

$b,$

${27}^{16}:9^{10}$

$=(3^3{)}^{16}:(3^2{)}^{1}0$

$=3^{48}:3^{20}$

$=3^{28}$ 

$c,$ 

${125}^3:{25}^4$

$=(5^3{)}^5:(5^2{)}^4$

$=5^{15}:5^8$

$=5^7$

$d,$

${24}^4:3^4-{32}^{12}:{16}^{12}$

$=(24:3{)}^4-(32:16{)}^{12}$

$=8^4-2^{12}$

$=(2^3{)}^4-2^{12}$

$=2^{12}-2^{12}$