https://olm.vn/hoi-dap/tim-kiem?id=223671728745&id_subject=1&q=+++++++++++T%C3%ACm+gi%C3%A1+tr%E1%BB%8B+c%E1%BB%A7a+bi%E1%BB%83u+th%E1%BB%A9c+:a)+4510%C3%975207515+++++++++++

a)  \(\frac{45^{10}\times5^{20}}{75^{15}}\)

\(=\frac{\left(15\times3\right)^{10}\times5^{20}}{\left(15\times5\right)^{15}}\)

\(=\frac{15^{10}\times3^{10}\times5^{20}}{15^{15}\times5^{15}}\)

\(=\frac{1\times3^{10}\times5^5}{15^5\times1}\)

\(=\frac{3^{10}\times5^5}{\left(3\times5\right)^5}\)

\(=\frac{3^{10}\times5^5}{3^5\times5^5}\)

\(=3^5=243\)

\(45^{10}\cdot5^{20}:75^{15}=\left(5.9\right)^{10}.5^{20}:\left(3.25\right)^{15}=\frac{5^{10}.9^{10}.5^{20}}{3^{15}.25^{15}}=\frac{5^{30}.3^{2.10}}{3^{15}.5^{2.15}}=\frac{5^{30}.3^{20}}{3^{15}.5^{30}}=3^5=243\)

243       

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

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

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

\(=3^5=243\)

nhớ nha

\(\frac{45^{10}\times5^{20}}{75^{15}}=\frac{3^{20}\times5^{10}\times5^{20}}{3^{15}\times5^{30}}=3^5=243\)

ta có \(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(5^2.3\right)^{15}}=\frac{3^{20}.5^{10}.5^{20}}{5^{30}.3^{15}}=3^5=243\)

hậu quả của việc chép sai đề là đây : mỏi tay , nhức óc , lại còn k đc ****

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

\(=\frac{\left(15.3\right)^{10}.5^{20}}{\left(15.5\right)^{15}}\)

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

\(=\frac{3^{10}.5^5}{15^5}=\frac{3^{10}.5^5}{3^5.5^5}=3^5=243\)

\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(9.5\right)^{10}.5^{20}}{\left(3.5.5\right)^{15}}=\frac{9^{10}.5^{10}.5^{20}}{3^{15}.5^{15}.5^{15}}=\frac{9^{10}.5^{30}}{3^{15}.5^{30}}=\frac{9^{10}}{3^{15}}=243\)

a.

\(\frac{45^{10}\times5^{20}}{75^{15}}=\frac{\left(3^2\times5\right)^{10}\times5^{20}}{\left(3\times5^2\right)^{15}}=\frac{3^{20}\times5^{10}\times5^{20}}{3^{15}\times5^{30}}=3^5=243\)

b.

\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,8\right)^5}{\left(0,4\right)^5}\times\frac{1}{\left(0,4\right)}=\left(\frac{0,8}{0,4}\right)^5\times\frac{1}{\frac{4}{10}}=2^5\times\frac{5}{2}=2^4\times5=16\times5=80\)

c.

\(\frac{2^{15}\times9^4}{6^6\times8^3}=\frac{2^{15}\times\left(3^2\right)^4}{\left(2\times3\right)^6\times\left(2^3\right)^3}=\frac{2^{15}\times3^8}{2^6\times3^6\times2^9}=3^2=9\)

Chúc bạn học tốt ^^

a/  45¹⁰ . 5²⁰ / 75¹⁵ = (3².5)¹⁰.5²⁰/ (3.5²)¹⁵ = 3²⁰.5³⁰/ 3¹⁵.5³⁰ = 3⁵=243

b/ 2¹⁵. 9⁴ / 6⁶. 8³ = 2¹⁵.3⁸/ 2⁶.3⁶.2⁹ = 3² = 9

a)\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{3^{15}.\left(5^2\right)^{15}}=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5=243\)

b) \(\frac{2^{15}\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^{15}.3^6}=3^2=9\)