a: \(4^{10}\cdot2^{30}=2^{30}\cdot2^{20}=2^{50}\)

b: \(9^{25}\cdot27^4\cdot81^2=3^{50}\cdot3^{12}\cdot3^8=3^{70}\)

c: \(25^{50}\cdot125^5=5^{100}\cdot5^{15}=5^{115}\)

d: \(64^3\cdot4^8\cdot16^4=4^9\cdot4^8\cdot4^8=4^{25}\)

e: \(2^{10}:8^3=2^{10}:2^9=2\)

\(12^7:6^7=\left(\dfrac{12}{6}\right)^7=2^7\)

f: \(5^8:25^2=5^8:5^4=5^4\)

\(4^9:64^2=4^9:4^6=4^3\)

\(2^{25}:32^4=2^{25}:2^{20}=2^5\)

\(125^3:25^4=5^9:5^8=5\)

g: 2^5*8^4

=2^5*(2^3)^4

=2^5*2^12

=2^17

243 : 3⁴ = 3⁵ : 3⁴ = 3^{5 - 4} = 3¹

3^1

\(243:3^4=3^5:3^4=3\)

144=12^2  nên 12^3:12^2 =12

b,

2^9:64

64=2^8 nên 2^9:2^8 = 2^(9-8)=2

a) 12^3 : 144 

 = 12^2.12 : 12^2

= 12 

b) 2^9 : 64 

 = 2^9 : 2^6

= 2^3 

\(12^3:12^2=12^{3-2}=12^1\)

\(2^9:2^6=2^{9-6}=2^3\)

nhớ **** mình nha

MIK SỬA LẠI ĐỀ CÂU B

a) \(27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)

b) \(3^9:81^3=3^9:\left(3^4\right)^3=3^9:3^{12}=3^{-3}\)

a) \(\left(3^3\right)^5:\left(3^4\right)^3\)

= \(3^{15}:3^{12}\)

= \(3^3\)

a) \(27^5:81^3=3^{15}:3^{12}=3^3\)

b) \(3^9:81^3=3^9:3^{12}=\dfrac{1}{3^3}=\left(\dfrac{1}{3}\right)^3\)

   1024:8²

=2¹⁰:(2³)²

=2¹⁰:2⁶

=2⁴

\(1024:8^2=\frac{2^{10}}{2^6}=2^4\)

\(1024:8^2=2^{10}:2^6=2^{10-6}=2^4\)

Tk mình nha.

= 85 x 85 - 84 x 84 = 85 x 84 + 85 - 84 x 84 = 84 x 84 + 84 + 85 - 84 x 84 = (84 x 84 - 84 x 84) + 85 + 84 = 169 = 13^2

= 13^2 nhaaaaaaa

85^2 - 84^2 = (85-84).(85+84)=169=13^2

4^16

nhớ k cho mình nha

\(4^8.8^4=\left(2^2\right)^8.\left(2^3\right)^4=2^{2.8}.2^{3.4}=2^{16}.2^{12}=2^{16+12}=2^{28}\)

4^8.8^4=4^8.(4.2)^4=4^8.4^4.2^4=4^16