2¹³ . 4⁵ . 8²=2¹³.(2²)⁵.(2³)²=2¹³.2¹⁰.2⁶=2^13+10+6=2¹⁹

100⁶ . 1000⁴ . 10000³=(10²)⁶.(10³)⁴.(10⁴)³=10¹².10¹².10¹²=10^12+12+12=10³⁶

36 ⁹ : 18⁹=(36:18)⁹=2⁹

24⁵ : 6⁵ . 8⁸=(24:6)⁵.8⁸=4⁵.8⁸=(2²)⁵.(2³)⁸=2¹⁰.2²⁴=2¹⁰⁺²⁴=2³⁴

5¹⁵ . 125³ : 625=5¹⁵.(5³)³.5⁴=5¹⁵.5⁹.5⁴=5¹⁵⁺⁹⁺⁴=5²⁸

28²⁰¹⁴ : 7²⁰¹⁴ : 6⁰=(28:7)²⁰¹⁴ : 1=4²⁰¹⁴:1=4²⁰¹⁴

24 . 5⁵ + 5² . 5³=24.5⁵+5²⁺³=24.5⁵+5⁵=(24+1).5⁵=25.5⁵=5².5⁵=5²⁺⁵=5⁷

7 . 3⁹ + 3¹⁰ + 51 . 3⁸=7.3.3⁸ + 3².3⁸ + 51 . 3⁸=21.3⁸ + 9.3⁸ + 51 . 3⁸=(21+9+51).3⁸=81.3⁸=3⁴.3⁸=3⁴⁺⁸=3¹²

a) \(8^4.16^5\)

\(=\left(2^3\right)^4.\left(2^4\right)^5\\ =2^{3.4}.2^{4.5}\\ =2^{12}.2^{20}\\ =2^{12+20}\\ =2^{32}\)

b) \(5^{40}.125^2.625^3\)

\(=5^{40}.\left(5^3\right)^2.\left(5^4\right)^3\)

\(=5^{40}.5^{3.2}.5^{4.3}\)

\(=5^{40}.5^6.5^{12}\)

\(=5^{40+6+12}\)

\(=5^{58}\)

c) \(27^4.81^{10}\)

\(=\left(3^3\right)^4.\left(3^4\right)^{10}\)

\(=3^{3.4}.3^{4.10}\)

​\(=3^{12}.3^{40}\)​

\(=3^{52}\)

d) \(10^3.100^5.1000^4\)

\(=10^3.\left(10^2\right)^5.\left(10^3\right)^4\)

\(=10^3.10^{2.5}.10^{3.4}\)

\(=10^3.10^{10}.10^{12}\)

\(=10^{3+10+12}\)

\(=10^{25}\)

8⁴.16⁵=2³²

5⁴⁰.125².25³=5⁵²

27⁴.81¹⁰=3⁵²

10³.100⁵.1000⁴=10²⁵

Chúc hk tốt!!!

+) \(8^4\times16^5=\left(2^3\right)^4\times\left(2^4\right)^5=2^{12}\times2^{20}=2^{12+20}=2^{32}\)

+) \(5^{40}\times125^2\times25^3=5^{40}\times\left(5^3\right)^2\times\left(5^2\right)^3=5^{40}\times5^6\times5^6=5^{40+6+6}=5^{52}\)

+) \(27^4\times81^{10}=\left(3^3\right)^4\times\left(3^4\right)^{10}=3^{12}\times3^{40}=3^{12+40}=3^{52}\)

+) \(10^3\times100^5\times1000^4=10^3\times\left(10^2\right)^5\times\left(10^3\right)^4=10^3\times10^{10}\times10^{12}=10^{3+10+12}=10^{25}\)

_Chúc bạn học tốt_

Anh đã từng làm em hi!

A

\(5^1.5^3.5^4\)=\(5^{1+3+4}=5^8\)

B

\(10^1.10^2.10^3=10^{1+2+3}=10^6\)

C

\(8^4.16^5.32^1\)

d

\(27^4.81^{10}\)

Thank bạn 

a,

5x125x625

=5x5³x5⁴

=5⁸

tt nhé

a, \(8^4.16^5\)

b, \(5^{40}.125^2.25^3\)

c,\(27^4.81^{10}\)

d, \(10^3.100^5.1000^4\)

Bạn ơi mình hỏi là viết các tích của số đó chứ ko phải là ghi ra như vậy

8⁴.16⁵=2¹².2²⁰=2³²

5⁴⁰.125².25³=5⁴⁰.5⁶.5⁶=5⁵²

27⁴.81¹⁰=3¹².3⁴⁰=3⁵²

10³.100⁵.1000⁴=10³.10¹⁰.10¹²=10²⁵

^{Cần chi tiết hơn không?}

1.
a) \(3^4\times3^5\times3^6=3^{4+5+6}=3^{15}\)

b) \(5^2\times5^4\times5^5\times25=5^2\times5^4\times5^5\times5^2=5^{2+4+5+2}=5^{13}\)

c) \(10^8\div10^3=10^{8-3}=10^5\)

d) \(a^7\div a^2=a^{7-2}=a^5\)

2.

\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)

\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)

\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)

còn bài 2