![](https://rs.olm.vn/images/avt/0.png?1311)
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)
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
![](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)
45^10 x 5^20 / 75^15
= ( 3^2 x 5)^10 x 5^20 / ( 3 x 5^2)^15
= 3^20 x 5^10 x 5^20 / 3^15 x 5^30
= 3^5
= 243
p/s : theo mk thì lm như vậy đó
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Đặt: A = \(\frac{5.7^{12}}{7^{10}.5^{10}}=\frac{5.7^2.7^{10}}{7^{10}.5^{10}}=\frac{7^2}{5^9}\)
b) Đặt: B = \(\frac{5^8.7^{12}-5^9.7^{11}}{7^{11}.5^{10}+7^{12}.5^{11}}=\frac{5^8.7.7^{11}-5.5^8.7^{11}}{7^{11}.5^{10}+7.7^{11}.5.5^{10}}\\ =\frac{5^8.7^{11}.\left(7-5\right)}{7^{11}.5^{10}.\left(1+7.5\right)}=\frac{2}{5^2.36}=\frac{2}{25.36}=\frac{1}{450}\)
a)\(\frac{5.7^{12}}{7^{10}.5^{10}}=\frac{5.7^{10}.7^2}{7^{10}.5.5^9}=\frac{7^2}{5^9}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1) \(\dfrac{5}{10}=\dfrac{5:5}{10:5}=\dfrac{1}{2}\)
\(\dfrac{-18}{-27}=\dfrac{-18:\left(-9\right)}{-27:\left(-9\right)}=\dfrac{2}{3}\)
\(\dfrac{-42}{105}=\dfrac{-42:21}{105:21}=\dfrac{-2}{5}\)
\(\dfrac{75}{-135}=\dfrac{75:\left(-15\right)}{-135:\left(-15\right)}=\dfrac{-5}{9}\)
\(\dfrac5{10}=\dfrac{5.1}{5.2}=\dfrac12\\\dfrac{-18}{-27}=\dfrac{(-9).2}{(-9).3}=\dfrac23\\\dfrac{-42}{105}=\dfrac{21.(-2)}{21.5}=\dfrac{-2}5\\\dfrac{75}{-135}=\dfrac{(-15).(-5)}{(-15).9}=\dfrac{-5}9\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ở câu a) số mũ lúc nào cug dương mà bạn ( 45-10 = 4510). Nếu số mũ là dương thì:
a)\(\frac{45^{10}.5^{20}}{75^{15}}\)
= \(\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(3.5^2\right)^{15}}\)
= \(\frac{3^{20}.5^{10}.5^{20}}{3^{15}.5^{30}}\)
= \(\frac{3^{20}.5^{30}}{3^{15}.5^{30}}\)
= \(\frac{3^5.1}{1.1}\)
= \(\frac{243}{1}\)
= 243
b)\(\frac{2^{15}.9^4}{6^6.8^2}\)
= \(\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^2}\)
= \(\frac{2^{15}.3^8}{2^6.3^6.2^6}\)
= \(\frac{2^{15}.3^8}{2^{12}.3^6}\)
= \(\frac{2^3.3^2}{1.1}\)
= \(\frac{8.9}{1}\)
= \(\frac{72}{1}\)
= 72
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(=\dfrac{2^{42}}{2^{14}}=2^{28}\)
b: \(=\dfrac{3^{20}\cdot5^{10}\cdot5^{10}}{5^{20}\cdot3^{10}}=3^{10}\)
\(\dfrac{45^{10}.5^{10}}{75^{10}}=\dfrac{\left(3^2.5\right)^{10}.5^{10}}{\left(5^2.3\right)^{10}}=\dfrac{3^{20}.5^{10}.5^{10}}{5^{20}.3^{10}}=3^{10}\)
Chúc bạn học tốt!!!