\(9^5:3^7=\left(3^2\right)^5:3^7=3^{10}:3^7=3^3\)

\(8^6:4^8=\left(2^3\right)^6:\left(2^2\right)^8=2^{18}:2^{16}=2^2\)

\(25^7:125^3=\left(5^2\right)^7:\left(5^3\right)^3=5^{14}:5^9=5^5\)

Chúc bạn học tốt !

a,\(2^4\cdot3^5:6^4\)

\(=\frac{2^4\cdot3^6}{\left(2\cdot3\right)^4}\)

\(=\frac{2^4\cdot3^6}{2^4\cdot3^4}\)

\(=3^2\)

Bài 2

\(a,5^3\cdot8=5^3\cdot2^3=10^3=1000\)

\(b,2^5-2019^0=32-1=31\)

\(c,3^3+2^5-1^{10}=27+32-1=58\).

\(d,9^2\cdot33-81\cdot23+5^2=81\cdot33-81\cdot23+25\)

\(=81\cdot\left(33-23\right)+25\)

\(=810+25=835\)

\(g,\left[2^2+6^2\right]:5+11^2\)

\(=\left[4+36\right]:5+121\)

\(=40:5+121=8+121\)

\(=129\)

\(d,\frac{14\cdot3^{10}-5\cdot3^{10}}{3^{12}}\)

\(=\frac{3^{10}\cdot\left(14-5\right)}{3^{12}}\)

\(=\frac{3^{10}\cdot9}{3^{12}}\)

\(=\frac{3^{10}\cdot3^2}{3^{12}}=\frac{3^{12}}{3^{12}}\)

\(=1\)

còn bài 1 nưa mà bạn

\(32^9:64=\left(2^5\right)^9:2^6=2^{45}:2^6=2^{45-6}=2^{39}\)

32⁹:64

= (2⁵)⁹:2⁶

= 2⁴⁵:2⁶

= 2^45-6

= 2³⁹

a) 11^5

b) 17^2 

c) 4^2 

d) a^4 

35⋅45=12535⋅45=125

85⋅23=86

hok tốt

Giải :

3⁵ . 4⁵ = ( 3 . 4 )⁵ = 12⁵

8⁵ . 2³ = ( 2³ )⁵ . 2³ = 2¹⁵ . 2³ = 2¹⁸

\(3^5\times4^5=\)\(\left(3\times4\right)^5=12^5\)

\(8^5\times2^3=\)\(\left(2^3\right)^5\times2^3\)\(=2^{15}\times2^3=2^{18}\)

Giải:

a) \(4^2.8^5=\left(2^2\right)^2.\left(2^3\right)^5=2^4.2^{15}=2^{19}\)

b) \(27^3.9^4=\left(3^3\right)^3.\left(3^2\right)^4=3^9.3^8=3^{17}\)

c) \(64^3.16^7=\left(4^3\right)^3.\left(4^2\right)^7=4^9.4^{14}=4^{23}\)

5^12*7-5^11*10

=5^11*(5x7-10)(mjk đặt 5^11 làm ts chung)

=5^11x25=5^11 x 5^2=5^13

a) 15³ : 15 = 15²

b) 2⁵ : 2² = 2³

c) 3⁷ : 3² = 3⁵

d) 7³ : 7 = 7²

Ủng hộ mk nha ^_-

a) \(15^3:15=15^{3-1}=15^2=225\)

b) \(2^5:2^2=2^{5-2}=2^3=8\)

c) \(3^7:3^2=3^{7-2}=3^5=243\)

d) \(7^3:7=7^{3-1}=7^2=49\)

nha m.n. Thanks

a) 15³ : 15 = 15²

b) 2⁵ : 2² = 2³

c) 3⁷ : 3² = 3⁵

d) 7³ : 7 = 7²