ta có :

\(3^3.7^3=\left(3.7\right)^3=21^3\)

3³7³=(3.7)³

a,  \(=7.7.5.5.5^2=7^2.5^4\)

b, \(=2.3.2.3.3.2^2=3^3.2^4\)

c, \(=5^4\)

xin tiick

Viết các số hoặc các tính sau dưới dạng lũy thừa hoặc hoặc tích các lũy thứa         a) 7.35.5.25              B) 2.3.8.12              C) 5³.5

a) \(7\cdot7\cdot5\cdot5\cdot5\cdot5=7^2\cdot5^4\)

b) \(2\cdot3\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3=2^6\cdot3^2\)

c) \(5^3\cdot5=5^3\cdot5^1=5^{3+1}=5^4\)

@Ngien

\(a,4\cdot9=36=6^2\)

\(b,1000\cdot10=10000=100^2\)

\(c,5^3\cdot5=5^4\)

Trả lời :

a) 4 = 2²                9 = 3²

b) 1000 . 10 . 10 = 10³ . 10² = 10⁵

c) 5³ . 5 = 5⁴

~~Học tốt~~

\(4=4^1\)\(;9=9^1\)

\(1000x10x10\)\(=10^3\)\(x10^1\)\(x10^1\)\(=10^5\)

\(5^3\)\(x5=5^4\)

Ta có: +) \({({2^2})^3} = {2^2}{.2^2}{.2^2} = {2^{2 + 2 + 2}} = {2^6}\)

+) \({\left[ {{{( - 3)}^2}} \right]^2} = {( - 3)^2}.{( - 3)^2} = {( - 3)^{2 + 2}} = {( - 3)^4}\)

Bài 6: 

a: \(2^{27}=8^9\)

\(3^{18}=9^9\)

b: Vì \(8^9< 9^9\)

nên \(2^{27}< 3^{18}\)

12³x3³=36³=(6²)³=6⁶

\(a,2^5.8^4=2^5.2^{12}=2^{17}\)

\(b,25^6.125^3=5^{12}.5^9=5^{21}\)

\(c,625^5.25^7=5^{20}.5^{14}=5^{34}\)

\(d,12^3.3^3=\left(12.3\right)^3=36^3\)

a) 2⁵ . 8⁴ = 2⁵ . (2³)⁴ = 2⁵ . 2¹² = 2¹⁷

b) 25⁶ . 125³ = (5²)⁶ . (5³)³ = 5^12 _. 5⁹ = 5²¹

c) 625⁵ : 25⁷ = (25²)⁵ : 25⁷ = 25¹⁰ : 25⁷ = 25³

d) 12³ . 3³ = (12 . 3)³ = 36³

Trả lời:

\(a)\)\(2^5.8^4=2^5.\left(2^3\right)^4=2^5.2^{12}=2^{5+12}=2^{17}\)

\(b)\)\(25^6.125^3=\left(5^2\right)^6.\left(5^3\right)^3=5^{12}.5^9=5^{12+9}=5^{21}\)

\(c)\)Chưa rõ đề.

\(d)\)\(12^3.3^3=\left(12.3\right)^3=36^3\)

=(12*3)^3

=36^3

12^3 x 3^3 

= ( 12 x 3 )^3

= 36 ^3

\(12^3.3^3=36^3=\left(6^2\right)^3=6^6\)