Giai ho mk vs:
10x4^6x9^5+6^9x120
______________________________
8^4x3^12-6^11
10x4^6x9^5+6^9x120
8^4x3^12-6^11
Tính 4^6x9^5+6^9x120/8^4x3^12-6^11 Giải giúp mik với
\(\dfrac{4^6\cdot9^5+6^9\cdot120}{8^4\cdot3^{12}-6^{11}}\)
\(=\dfrac{2^{12}\cdot3^{10}+2^{12}\cdot3^{10}\cdot5}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}\)
\(=\dfrac{2^{13}\cdot3^{11}}{2^{11}\cdot3^{11}\cdot\left(2\cdot3-1\right)}\)
\(=\dfrac{4}{5}\)
1) Thực hiện phép tính
a) \(\dfrac{4^6x9^5+6^9x120}{-8^4x3^{12}-6^{11}}\)
b) \(\dfrac{1}{1-\dfrac{1}{1-2-1}}+\dfrac{1}{1+\dfrac{1}{1+2-1}}\)
a,
\(\dfrac{4^6\cdot9^5+6^9\cdot120}{-8^4\cdot3^{12}-6^{11}}=\dfrac{2^{12}\cdot3^{10}+2^9\cdot3^9\cdot2^3\cdot3\cdot5}{-2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}=\dfrac{2^{12}\cdot3^{10}+2^{12}\cdot3^{10}\cdot5}{-2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}=\dfrac{2^{12}\cdot3^{10}\left(1+5\right)}{-2^{11}\cdot3^{11}\left(2\cdot3-1\right)}=\dfrac{2^{13}\cdot3^{11}}{-2^{11}\cdot3^{11}\left(2\cdot3+1\right)}=\dfrac{2^2}{7}=\dfrac{4}{7}\)
b,
\(\dfrac{1}{1-\dfrac{1}{1-2-1}}+\dfrac{1}{1+\dfrac{1}{1+2-1}}=\dfrac{1}{1-\dfrac{1}{-2}}+\dfrac{1}{1+\dfrac{1}{2}}=\dfrac{1}{1+\dfrac{1}{2}}+\dfrac{1}{1+\dfrac{1}{2}}=\dfrac{2}{\dfrac{3}{2}}=\dfrac{4}{3}\)
1) Thực hiện phép tính :
a )
\(\frac{4^6x9^5+6^9x120}{-8^4x3^{12}-6^{11}}\)
b)
\(\frac{1}{1-\frac{1}{1-2-1}}+\frac{1}{1+\frac{1}{1+2-1}}\)
gửi đến bạn vũ thu trang
4^6x9^5+6^9x120/8^4x3^12-6^11
= (2^2)^6.(3^2)^5 + (2.3)^9.3.5.2^3 / (2^3)^4.3^12 - (2.3)^11
= 2^12.3^10 + 2^9.3^9.3.5.2^3 / 2^12.3^12 - 2^11.3^11
= 2^12.3^10 + 2^12.3^10.5 / 2^11.2. 3^11.3 - 2^11.3^11
= 2^12.3^10.(1+5) / 2^11.3^11.(6-1)
= 2^12.3^10.6 / 2^11.3^11.5
= 4/5
Nhiwf bạn nên mình làm được bài này ! Hihi
Rút gọn :
M=\(^{\frac{4^6:9^5+6^9x120}{8^4x3^{12}-6^{11}}}\)
M=48:98+69x120/84x312-611
M=(22)8:(32)8+69x23x3x5/(23)4x312-611
M=216:316+69x23x3x5/212x312-611
M=(219:317+69)x5 / 212x312-611
M=27:35x5/62
M=128/243x5:36
M=640/243:36
M=160/2187
4^0x9^3-6^9x120/8^4x3^12+6^11
Giúp mik nhé:]]]
\(4^0\cdot9^3-6^9\cdot\dfrac{120}{8^4\cdot3^{12}+6^{11}}\) hay \(4^0\cdot9^3-6^9\cdot\dfrac{120}{8^4}\cdot3^{12}+6^{11}\)?
I ) Rút gọn phân số : 4^6x9^5+6^9x120
8^4x3^12-6^11
II )Cho A = 6n+1
3n+2
a ) Tìm n để là là p/s .
b ) Tìm n để A là phân số tối giản
Tính giá trị biểu thức sau:
a,\(\frac{20^{^5}x5^{10}}{100^5}\) d,\(\frac{4^6x9^5+6^9x120}{8^4x3^{12}-6^4}\)
b,\(\frac{0,4^5}{0,3^6}\)
c,\(\frac{6^3+36^2+3^3}{-13}\)