\(=\dfrac{\left(3^2\cdot5\right)^{10}\cdot5^{20}}{\left(3\cdot5^2\right)^{15}}=\dfrac{3^{20}\cdot5^{10}\cdot5^{20}}{3^{15}\cdot5^{30}}=3^5=243\)

= \(\frac{10}{15}\)+ \(\frac{10}{15}\)+ \(\frac{10}{15}\)= \(\frac{10}{15}\)x 3 = \(\frac{30}{45}\)

mình nhầm kết quả là 30/15 = 2 mới đúng ! bạn bỏ cho mình phần nhân với 3 nhé ! Mong bạn thông cảm !

 10/15 + 30/45 + 50/75 

= 10/15 + 10/15 + 10/15

= 10/15 x 3 

= 30/15 = 2

\(\dfrac{45^{10}\cdot5^{20}}{75^{15}}=\dfrac{\left(3^2\cdot5\right)^{10}\cdot5^{20}}{\left(3\cdot5^2\right)^{15}}=\dfrac{3^{20}\cdot5^{10}\cdot5^{20}}{3^{15}\cdot5^{30}}=3^5=243\\ \dfrac{6^6+6^3+3^3+3^6}{-73}=\dfrac{46656+216+27+729}{-73}=-\dfrac{47628}{73}\\ \dfrac{27^7+3^{15}}{9^9-27}=\dfrac{\left(3^3\right)^7+3^{15}}{\left(3^2\right)^9-3^3}=\dfrac{3^{21}+3^{15}}{3^{18}-3^3}=\dfrac{3^{15}\left(3^6+1\right)}{3^3\left(3^{15}-1\right)}=\dfrac{3^5\cdot730}{3^{15}-1}\\ \dfrac{8^{20}+4^{20}}{4^{25}+64^5}=\dfrac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}=\dfrac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}=2^{10}=1024\)

\(=\frac{\left(3\cdot3\cdot5\right)^{10}\cdot5^{20}}{\left(3\cdot5\cdot5\right)^{15}}\)

\(=\frac{3^{10}\cdot3^{10}\cdot5^{10}\cdot5^{20}}{3^{15}\cdot5^{15}\cdot5^{15}}\)

\(=\frac{3^{20}\cdot5^{30}}{3^{15}\cdot5^{30}}\)

\(=3^5=243\)

nhớ nha

\(\dfrac{45^{10}.5^{20}}{75^{15}}=\dfrac{\left(5.3^2\right)^{10}.5^{20}}{\left(5^2.3\right)^{15}}=\dfrac{5^{21}.3^{20}}{5^{30}.3^{15}}=\dfrac{1.3^5}{5^9.1}=\dfrac{3^5}{5^9}\)

Mk làm hơi tắt còn kết quả mk vẫn để lũy thừa vì nếu => số

Chúc bn học tốt

\(\dfrac{45^{10}\cdot5^{20}}{75^{15}}\\ =\dfrac{\left(3^2\cdot5\right)^{10}\cdot5^{20}}{\left(5^2\cdot3\right)^{15}}\\ =\dfrac{\left(3^2\right)^{10}\cdot5^{10}\cdot5^{20}}{\left(5^2\right)^{15}\cdot3^{15}}\\ =\dfrac{3^{20}\cdot5^{30}}{5^{30}\cdot3^{15}}\\ =3^5\\ =243\)

Đề bài là gì vậy ?

Giải:

\(\dfrac{45^{10}.5^{20}}{75^{15}}\)

\(=\dfrac{\left(3.3.5\right)^{10}.5^{20}}{\left(3.5.5\right)^{15}}\)

\(=\dfrac{3^{10}.3^{10}.5^{10}.5^{20}}{3^{15}.5^{15}.5^{15}}\)

\(=\dfrac{3^{20}.5^{30}}{3^{15}.5^{30}}\)

\(=3^5=243\)

Vậy giá trị của biểu thức trên là 243.

Chúc bạn học tốt!!!

\(\dfrac{45^{10}.5^{20}}{75^{15}}=\dfrac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5=243\)

\(\dfrac{45^{10}.5^{20}}{75^{15}}=\dfrac{\left(3^2\right)^{10}.5^{10}.5^{20}}{\left(5^2\right)^{15}.3^{15}}\dfrac{3^{20}.5^{30}}{5^{30}.3^{15}}=3^5\)

\(\dfrac{2^{15}.9^4}{6^6.8^3}=\dfrac{2^{15}.\left(3^2\right)^4}{2^3.3^3.\left(2^3\right)^3}=\dfrac{2^{15}.3^8}{2^3.3^3.2^9}=\dfrac{2^{15}.3^8}{2^{12}.3^3}\) =\(2^3.8^5\)

\(a,\dfrac{7}{12}+\dfrac{3}{4}\times\dfrac{2}{9}=\dfrac{7}{12}+\dfrac{1}{6}=\dfrac{7}{12}+\dfrac{2}{12}=\dfrac{9}{12}=\dfrac{3}{4}\)

\(b,\dfrac{8}{9}-\dfrac{4}{15}:\dfrac{2}{5}=\dfrac{8}{9}-\dfrac{4}{15}\times\dfrac{5}{2}=\dfrac{8}{9}-\dfrac{2}{3}=\dfrac{8}{9}-\dfrac{6}{9}=\dfrac{2}{9}\)

đùa thì kệ con mẹ mày xàm loz

Đáp án a là 0,75 

Đáp án b: là 0.86222222222