=(45.5)^10/75^10

=(225/75)^10

=3^10

=59049

\(\frac{45^{10}\cdot5^{10}}{75^{10}}=\frac{3^{10}\cdot15^{10}\cdot5^{10}}{75^{10}}=\frac{3^{10}\cdot3^{10}\cdot5^{10}\cdot5^{10}}{3^{10}\cdot25^{10}}=\frac{3^{10}\cdot3^{10}\cdot5^{10}\cdot5^{10}}{3^{10}\cdot5^{10}\cdot5^{10}}=\frac{3^{20}\cdot5^{20}}{3^{10}\cdot5^{20}}=3^{10}\)

\(\frac{45^{10}.5^{10}}{75^{40}}=\frac{\left(5.3^2\right)^{10}.5^{10}}{\left(5^2.3\right)^{40}}=\frac{5^{10}.3^{20}.5^{10}}{5^{80}.3^{40}}=\frac{1}{5^{60}.3^{20}}\)

a: =25(15+45*3)

=25*150

=3750

b: \(=-10\left(25+75-50\right)=-10\cdot50=-500\)

c: =>3^x-2=27

=>x-2=3

=>x=5

d: =>2x-5=-4

=>2x=1

=>x=1/2

e: =>2(x-1)^2=32

=>(x-1)^2=16

=>x-1=4 hoặc x-1=-4

=>x=-3 hoặc x=5

f:  =>25(x+3)=75

=>x+3=3

=>x=0

\(\dfrac{45^{10}.5^{10}}{75^{10}}=\dfrac{\left(3^2.5\right)^{10}.5^{10}}{\left(5^2.3\right)^{10}}=\dfrac{3^{20}.5^{10}.5^{10}}{5^{20}.3^{10}}=3^{10}\)

Chúc bạn học tốt!!!

\(\frac{\left(45.5\right)^{10}}{75}=\frac{225^{10}}{75}=3^{10}\)

\(C=\frac{45^{10}.5^{10}}{75}=\frac{225^{10}}{75}=\frac{225.225^9}{75}=\frac{75.3.225^9}{75}=3.225^9\)

tìm giá trị của biểu thức sau

a) 45 mũ 10 . 5 mũ 20 / 75 mũ 15

b) (0,8) mũ 5 / (0,4) mũ 6

c) 2 mũ 15 . 9 mũ 4 / 6 mũ 6 . 8 mũ 3

bài làm là:

a) 45^10.5^20/75 ^ 15

=(5.9)^10.5^20/(5.15)^15

=5^10.9^10.5^20/5^15.15^15

=5^30.3^20/5^15.3^15.5^15

=5^30.3^20/5^30.3^15

=5^30.3^20/5^30.3^15

=3^5

=243

mấy ý kia mình chia tính được ....A,hihi

a: \(=\dfrac{2^{42}}{2^{14}}=2^{28}\)

b: \(=\dfrac{3^{20}\cdot5^{10}\cdot5^{10}}{5^{20}\cdot3^{10}}=3^{10}\)

#)Giải :

c) \(\frac{45^{10}.5^{10}}{75^{10}}=\frac{\left(15.3\right)^{10}.5^{10}}{\left(15.5^{10}\right)}=\frac{15^{10}.3^{10}.5^{10}}{15^{10}.5^{10}}=3^{10}\)