bài 11

\(6.6.6.6=6^4\) '\(b.5.15.15.15.3=15.15.15.15=15^4\)

\(c.81.3.3.3=3^4.3^3=3^7\)

bài 12.

\(a.765.5=153.5^2\)

\(b.837.7.7=93.21^2\)

\(c.568.8.2.4=71.8.2^6=71.2^9\)

Bài 6: 

a: \(2^{27}=8^9\)

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

b: Vì \(8^9< 9^9\)

nên \(2^{27}< 3^{18}\)

cảm ơn nha

\(5^6:5^3=5^{6-3}=5^3\)

\(a^4:a=a^4:a^1=a^{4-1}=a^3\)

a)=5³

b)=a³

\(16^2:4^2\)

\(=\left(4^2\right)^2:4^2\)

\(=4^4:4^2\)

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

\(=4^2\)

==========

\(25^5:5^2\)

\(=\left(5^2\right)^5:5^2\)

\(=5^{10}:5^2\)

\(=5^{10-2}\)

\(=5^8\)

============

\(9^8:3^2\)

\(=\left(3^2\right)^8:3^2\)

\(=3^{16}:3^2\)

\(=3^{16-2}\)

\(=3^{14}\)

===========

\(a^6:a\)

\(=a^{6-1}\)

\(=a^5\)

a/ (2⁶.16) :4²

=(2⁶.2²) :(2²)²

=2⁸ : 2⁴=2⁴=16

b/ (5¹⁰:625) : 25

= (5¹⁰:5⁴) :5²

=5⁶ : 5²=5³=625

c/ (81.243):3

= (3⁴.3⁵) :3

= 3⁹ :3=3⁸ =6561

2^(10 : 64 x 16) = 2^[(10 x 16) : 64] = 2^(160 : 64) = 2^25

2^(10 x 8) = 2^80     3^(5 : 27) = 3^(5/27)     5^(2 x 125) = 5^250     6^(6 : 36) = 6^(1/6)

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.

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

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

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