1= 30; 243 = 35; 1/3 = 3-1; 1/9 = 3-2

a) \(15^3\cdot5\cdot15^4\cdot3\)

\(=15^3\cdot15^4\cdot\left(5\cdot3\right)\)

\(=15^3\cdot15^4\cdot15\)

\(=15^{4+3+1}\)

\(=15^8\)

b) \(243:3^3\)

\(=3^5:3^3\)

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

\(=3^2\)

ôi quá dễ nếu mình có thời gian thì mình sẽ làm nhưng giờ mình chẳng có thời gan

a) \(4^3\cdot32^4\)

\(=\left(2^2\right)^3\cdot\left(2^5\right)^4\)

\(=2^6\cdot2^{20}\)

\(=2^{26}\)

b) \(3^{20}\cdot9^{10}\cdot27^2\)

\(=3^{20}\cdot\left(3^2\right)^{10}\cdot\left(3^3\right)^2\)

\(=3^{20}\cdot3^{20}\cdot3^6\)

\(=3^{46}\)

c) \(3^{10}\cdot7^{10}\)

\(=\left(3\cdot7\right)^{10}\)

\(=21^{10}\)

d) \(6^{15}:6^{14}\)

\(=6^{15-14}\)

\(=6\)

e) \(28^3:7^3\)

\(=4^3\cdot7^3:7^3\)

\(=4^3\)

\(=2^6\)

\(9^2=\left(3^2\right)^2=3^{2\cdot2}=3^4\)

3^6 . 9^5

= 3^6. \(^{\left(3^2\right)^5}\)

= 3^6. 3^10

=\(^{3^{6+10}}\)

= 3^16

k nhé ( dấu " ^"  là đấu mũ)

3^6 x 9^5 = 3^6 x ( 3^2)^5 = 3^6 x 3^10 = 3^16

3^6.9^5=3^6.(3²)^5=3^6.3^10=3¹⁰⁺⁶=3¹⁶

\(a) 3^{15} : 3^5 =3^{(15-5)}=3^{10}\)

\(b) 4^6 : 4^6=1^1 \)

\(c) 9^8 : 3^2=(3^2)^8:3^2=3^{16}:3^2=3^{14}\)

_Học tốt_

a) 3¹⁰

b)1

a, \(3^{15}:3^5=3^{15-5}=3^{10}\)

b, \(4^6:4^6=4^{6-6}=4^0\)

c, \(9^8:32=\left(3^2\right)^8:2^5=3^{16}:2^5\)

\(\left(12^8:12\right)\left(243:3^4\right)\cdot\left(10^9:1000\right)\)

\(=12^{8-1}\cdot3^{5-4}\cdot10^{9-3}\)

\(=12^7\cdot3^1\cdot10^6\)

\(9^4\times81\times2^3\times3^2=9^4\times9^2\times9\times8=9^{1+2+4}\times8=9^7\times8\)

\(9^4.81.2^3.3^2\)

\(=9^4.9^2.8.9\)

\(=9^7.8\)

\(9^4.81.2^3.3^2\)

\(=9^4.9^2.8.9\)

\(9^7.8\)

Hok tốt