Tính giá trị biểu thức: A= 45^10.5^10 / 75^10. ; B= (0.8)^5 / (0.4)^6. ; C=2^15.9^4 / 6^6.8^3
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
A= (910.510.510)/(2510.310)=(320.520)/(520.310)=310
B=(0,8)5/(0,4)6= (2.0,4)5/0,4.0,45 = 25.0,45/0,4.0,45 = 25/0,4 = 80
C= 215.94/66.83= 215.38/36.26.29=215.38/36.215=32=9
![](https://rs.olm.vn/images/avt/0.png?1311)
=(45.5)^10/75^10
=(225/75)^10
=3^10
=59049
\(\frac{45^{10}\cdot5^{10}}{75^{10}}=\frac{3^{10}\cdot15^{10}\cdot5^{10}}{75^{10}}=\frac{3^{10}\cdot3^{10}\cdot5^{10}\cdot5^{10}}{3^{10}\cdot25^{10}}=\frac{3^{10}\cdot3^{10}\cdot5^{10}\cdot5^{10}}{3^{10}\cdot5^{10}\cdot5^{10}}=\frac{3^{20}\cdot5^{20}}{3^{10}\cdot5^{20}}=3^{10}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\dfrac{45^{10}.5^{10}}{75^{10}}=\dfrac{5^{10}.9^{10}.5^{10}}{25^{10}.3^{10}}=\dfrac{5^{20}.3^{20}}{3^{10}.5^{20}}=3^{10}=59049\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
ta có :
\(45^{10}\times\frac{5^{10}}{75^{10}}=\left(45\times\frac{5}{75}\right)^{10}=3^{10}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(45^{10}\cdot5^{20}:75^{15}=\left(5.9\right)^{10}.5^{20}:\left(3.25\right)^{15}=\frac{5^{10}.9^{10}.5^{20}}{3^{15}.25^{15}}=\frac{5^{30}.3^{2.10}}{3^{15}.5^{2.15}}=\frac{5^{30}.3^{20}}{3^{15}.5^{30}}=3^5=243\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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) \(\frac{45^{10}\times5^{20}}{75^{15}}\)
\(=\frac{\left(15\times3\right)^{10}\times5^{20}}{\left(15\times5\right)^{15}}\)
\(=\frac{15^{10}\times3^{10}\times5^{20}}{15^{15}\times5^{15}}\)
\(=\frac{1\times3^{10}\times5^5}{15^5\times1}\)
\(=\frac{3^{10}\times5^5}{\left(3\times5\right)^5}\)
\(=\frac{3^{10}\times5^5}{3^5\times5^5}\)
\(=3^5=243\)
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