\(A=\dfrac{45^{10}.5^{10}}{75^{10}}=\dfrac{5^{10}.9^{10}.5^{10}}{25^{10}.3^{10}}=\dfrac{5^{20}.3^{20}}{3^{10}.5^{20}}=3^{10}=59049\)

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

ta có :

 \(45^{10}\times\frac{5^{10}}{75^{10}}=\left(45\times\frac{5}{75}\right)^{10}=3^{10}\)

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       

A= (9¹⁰.5¹⁰​.5¹⁰​)/(25¹⁰​.3^​10)=(3^​20​.5²⁰​)/(5^​20.3^​10)=3^​10

​B=(0,8)^​5/(0,4)⁶= (2.0,4)⁵​/0,4.0,4⁵ ​= 2⁵.0,4⁵/0,4.0,4⁵ = 2^​5​/0,4 = 80

​C= 2¹⁵.9⁴​/6^​6.8³= 2_​^​15​.3⁸​/3⁶.2⁶.2⁹=2^​15.3⁸/3⁶.2^​15=3²=9

bo deo quantam

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 ****

\(C=\left[-45^{10}.\left(-5\right)^{10}\right]:75^{10}\)

\(C=\left(-45^{10}.5^{10}\right):75^{10}\)

\(C=\left(-45.5\right)^{10}:75^{10}\)

\(C=\left(-225\right)^{10}:75^{10}\)

\(C=\left(-225:75\right)^{10}=\left(-3\right)^{10}=3^{10}\)

\(B=\left(7^4-7^3\right)^3:343^{12}\)

\(B=\left[7^3.\left(7-1\right)\right]^3:\left(7^3\right)^{12}\)

\(B=\left(7^3.6\right)^3:7^{36}\)

\(B=7^9.6^3:7^{36}\)

\(B=6^3:7^{27}\)