\(2013=2.1000+10+3=2.10^3+1.10^1+3.10^0\)

\(20112013=2.10000000+100000+10000+2.1000+10+3\)

\(=2.10^7+10^5+10^4+2.10^3+10^1+3.10^0\)

2013 = 2 x 1000 + 10 + 3 = 2 x 10^3 + 1 . 10^1 + 3 . 10^0

20112013 = 2 x 10000000 + 100000 + 2 x 1000 + 10 + 3 =  2 x 10^7 + 10^5 + 10^4 + 2 x 10^3 + 10^1 + 3 x 10^0

ok nhé với lại 10^2 là 10 mũ 2 nhé =>

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 \(2^{27}< 3^{18}\)

Ta có: 712 : 74 = 7(12-4) = 78

5.p.p.5.p.2.q.q = 5².p³.q².2 

\(5.p.p.5.p^2.q.4.q=\left(5.5.4\right).\left(p.p.p^2\right).\left(q.q\right)=100p^4.q^2\)

5.p.p.5.p².q.4.q

= 5².p⁴.2².q²

= 10².p⁴.q²

Câu trả lời:

\(3^{16}:3=3^{16-1}=3^{15}\)

\(3^6.3^4.3^2.3=3^{6+4+2+1}=3^{31}\)

Chúc bạn học tốt!

\(a,3^{16}\div3=3^{16}\div3^1=3^{16-1}=3^{15}\)

\(b,3^6\times3^4\times3^2\times3=3^6\times3^4\times3^2\times3^1=3^{6+4+2+1}=3^{13}\)

~Study well~

#Seok_Jin

\(a.\)\(3^{16}:3=3^{16-1}=3^{15}\)

\(b.\)\(3^6.3^4.3^2.3=3^{6+4+2+1}=3^{13}\)

~ Rất vui vì giúp đc bn ~

Ta có: a4 : a4 = a(4-4) = a0

x6 : x3 = x(6-3) = x3

a) 5³ . 5² . 5 

= 5⁵ . 5 

= 5⁵ . 5¹

= 5⁶

b) 6⁹ : 6⁴ 

= 6⁵

c) 4 . 8 . 16 . 32 

= 2² . 2³ . 2⁴ . 2⁵

= 2⁵ . 2⁴ . 2⁵

= 2⁹ . 2⁵

= 2¹⁴