2+5+6
H24
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Đẳng thức nào sau đây là đúng?56 + 52 56 . 256 . 52 56 + 256 . 52 56 . 256 - 52 56 - 256 - 52 56 : 256 : 52 56 - 256 : 52 56 : 256 + 52 56 + 2
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Đẳng thức nào sau đây là đúng?
56 + 52 = 56 . 2
56 . 52 = 56 + 2
56 . 52 = 56 . 2
56 - 52 = 56 - 2
56 - 52 = 56 : 2
56 : 52 = 56 - 2
56 : 52 = 56 : 2
56 + 52 = 56 + 2
5^6.5^2=5^6+2
5^6/5^2=5^6-2
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5 mũ 6.5 mũ 2 = 5 mũ 6 + 2
5 mũ 6 : 5mu 2 = 5 ^6-2
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DT
27 tháng 3 2022 lúc 8:28
Tìm x biết \(\dfrac{4^5+4^5+4^5+4^5}{3^5+3^5+3^4}.\dfrac{6^5+6^5+6^5+6^5+6^5+6^5}{2^5+2^5}\)=2\(2^x\)
Sửa đề: 3^5+3^5+3^5; 2^x
=>\(2^x=\dfrac{4^5\cdot4}{3^5\cdot3}\cdot\dfrac{6^5\cdot6}{2^5\cdot2}\)
=>\(2^x=\left(\dfrac{4}{3}\right)^6\cdot\left(\dfrac{6}{2}\right)^6=4^6=2^{12}\)
=>x=12
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>, <, = ?
| 6 – 5 … 2 | 6 – 1 … 4 + 1 |
| 6 – 4 … 2 | 5 – 3 … 5 – 2 |
| 5 – 2 … 2 | 6 – 3 … 6 – 2 |
Lời giải chi tiết:
| 6 – 5 < 2 | 6 – 1 = 4 + 1 |
| 6 – 4 = 2 | 5 – 3 < 5 – 2 |
| 5 – 2 > 2 | 6 – 3 < 6 – 2 |
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x^3left(sqrt[3]{5+2sqrt{6}}+sqrt[3]{5-2sqrt{6}}right)^3sqrt[3]{5+2sqrt{6}}^3+3sqrt[3]{left(5+2sqrt{6}right)^2}.sqrt[3]{5-2sqrt{6}}+3sqrt[3]{5+2sqrt{6}}.sqrt[3]{left(5-2sqrt{6}right)^2}+sqrt[3]{5-2sqrt{6}}^35+2sqrt{6}+3sqrt[3]{left(5+2sqrt{6}right)left(5-2sqrt{6}right)}.sqrt[3]{5+2sqrt{6}}+3sqrt[3]{left(5+2sqrt{6}right)left(5-2sqrt{6}right)}.sqrt[3]{5-2sqrt{6}}+5-2sqrt{6}5+5+3sqrt[3]{left(25-4.6right)}.sqrt[3]{5+2sqrt{6}}+3sqrt[3]{left(25-4.6right)}.sqrt[3]{5-2sqrt{6}}10+
3sqrt[3]{5+2sqrt{6}}+3sq...
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\(x^3=\left(\sqrt[3]{5+2\sqrt{6}}+\sqrt[3]{5-2\sqrt{6}}\right)^3=\sqrt[3]{5+2\sqrt{6}}^3\)
\(+3\sqrt[3]{\left(5+2\sqrt{6}\right)^2}.\sqrt[3]{5-2\sqrt{6}}+3\sqrt[3]{5+2\sqrt{6}}.\sqrt[3]{\left(5-2\sqrt{6}\right)^2}+\sqrt[3]{5-2\sqrt{6}}^3\)
\(=5+2\sqrt{6}+3\sqrt[3]{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}.\sqrt[3]{5+2\sqrt{6}}\)
\(+3\sqrt[3]{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}.\sqrt[3]{5-2\sqrt{6}}+5-2\sqrt{6}\)
\(=5+5+3\sqrt[3]{\left(25-4.6\right)}.\sqrt[3]{5+2\sqrt{6}}+3\sqrt[3]{\left(25-4.6\right)}.\sqrt[3]{5-2\sqrt{6}}\)
\(=10+ 3\sqrt[3]{5+2\sqrt{6}}+3\sqrt[3]{5-2\sqrt{6}}\)
p/s : có bạn hỏi nên mình đăng , các bạn đừng report nhé
Tìm số tự nhiên n, biết rằng:
\(\dfrac {4^{5} + {4^{5}} +{4^{5}} + {4^{5}}}{{3^{5}} + {3^{5}} + {3^{5}}}\) . \(\dfrac{6^{5} + {6^{5}} + {6^{5}} + {6^{5}} + {6^{5}} + {6^{5}} }{2^{5} + 2^{5}} = 2^{n}\)
\(\dfrac{4^5+4^5+4^5+4^5}{3^5+3^5+3^5}.\dfrac{6^5+6^5+6^5+6^5+6^5+6^5}{2^5+2^5}=2^n\)
\(\Rightarrow\dfrac{4^5.4}{3^5.3}.\dfrac{6^5.6}{2^5.2}=2^n\)
\(\Rightarrow\dfrac{4^5.4.6^5.6}{3^5.3.2^5.2}=2^n\)
\(\Rightarrow\dfrac{\left(2.2\right)^5.2.2.\left(3.2\right)^5.3.2}{3^5.3.2^5.2}=2^n\)
\(\Rightarrow\dfrac{2^5.2^5.2.2.3^5.2^5.3.2}{3^5.3.2^5.2}=2^n\)
Rút gọn vế trái ta có :
\(2^5.2.2.^5=2^n\)
\(\Rightarrow2^{12}=2^n\)
\(\Rightarrow n=12\) ( Thỏa mãn điều kiện \(n\in N\) )
Vậy n =12
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Số tự nhiên n thỏa mãn:
\(\dfrac{4^5+4^5+4^5+4^5}{3^5+3^5+3^5}.\dfrac{6^5+6^5+6^5+6^5+6^5+6^5}{2^5+2^5}=2^n\)
=>\(\dfrac{4^5\left(1+1+1+1\right)}{3^5\left(1+1+1\right)}.\dfrac{6^5\left(1+1+1+1+1+1\right)}{2^5\left(1+1\right)}=2^n\)
=>\(\dfrac{4^5.4}{3^5.3}.\dfrac{6^5.6}{2^5.2}=2^n\) =>\(\dfrac{4^6}{3^6}.\dfrac{6^6}{2^6}=2^n\)
=>\(\left(\dfrac{4.6}{3.2}\right)^6=2^n\) =>\(4^6=2^n\) =>\(2^{12}=2^n\) =>n=12.
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2+2+5+5+6+6+5+5+5+5+5+5555++55+6+6
2+2+5+5+6+6+5+5+5+5+5+5555+55+6+6=5673
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do than kinh co vay ma ko biet tinh
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4 5. 4. 6.
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15 6. 5. 7
3. 4. 2. 5
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5. 20. 5. 12
4 5. 4. 6.
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15 6. 5. 7
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4 5. 4. 6.
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4 5. 4. 6.
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15 6. 5...
Đọc tiếp
4 5. 4. 6.
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15 6. 5. 7
3. 4. 2. 5
--- + --- --- + ---
5. 20. 5. 12
4 5. 4. 6.
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15 6. 5. 7
3. 4. 2. 5
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5. 20. 5. 12
4 5. 4. 6.
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15 6. 5. 7
3. 4. 2. 5
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5. 20. 5. 12
4 5. 4. 6.
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15 6. 5. 7
3. 4. 2. 5
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4 5. 4. 6.
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15 6. 5. 7
3. 4. 2. 5
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Khoanh vào phân số lớn hơn 1_3
Bài 1:Tính1) (1/2)^3 (3/2)^2 2) (2/3)^3 (3/2)^5 3) (5/4)^5 (4/5)^7 4) (-5/6)^6 (6/5)^8 5)(-4/3)^3 (9/16)^5 6) (1/3)^4 (-9/2)^6 7)(-4/9)^3 (-27/20)^4 8) (0,2)^4 . 5^6 9) (-4/3)^3 (9/16)^5 10) (-0,2)^3 .(-5)^5 11) (-4)^4 .(0,25)^6 12) $^2 . (0,2)^3 13) (0,5)^2 . 2^4 14) (-0,5)^3 .2^6 15) (-0,5)^5 .(-2)^10 16) (0,125)^2 .8^4 17) (0,125)^5 . (-8)^4...
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Bài 1:Tính
1) (1/2)^3 (3/2)^2
2) (2/3)^3 (3/2)^5
3) (5/4)^5 (4/5)^7
4) (-5/6)^6 (6/5)^8
5)(-4/3)^3 (9/16)^5
6) (1/3)^4 (-9/2)^6
7)(-4/9)^3 (-27/20)^4
8) (0,2)^4 . 5^6
9) (-4/3)^3 (9/16)^5
10) (-0,2)^3 .(-5)^5
11) (-4)^4 .(0,25)^6
12) $^2 . (0,2)^3
13) (0,5)^2 . 2^4
14) (-0,5)^3 .2^6
15) (-0,5)^5 .(-2)^10
16) (0,125)^2 .8^4
17) (0,125)^5 . (-8)^4
18) (-0,125)^7 . 8^10
19) (-0,1)^4 . 10^7
20) (0,1)^5 . (-10)^10
Giúp mình với ạ,mình cảm ơn ạ
1: =1/8*9/4=9/32
2: =8/27*243/32=9/4
3: =(5/4*4/5)^5*(4/5)^2=16/25
4: \(=\left(-\dfrac{5}{6}\cdot\dfrac{6}{5}\right)^2\cdot\left(\dfrac{6}{5}\right)^2=\dfrac{36}{25}\)
5: \(=\left(-\dfrac{4}{3}\right)^3\cdot\left(\dfrac{3}{4}\right)^{10}=\left(-1\right)\left(\dfrac{3}{4}\right)^7=-\left(\dfrac{3}{4}\right)^7\)
6: \(=\left(\dfrac{1}{3}\cdot\dfrac{-9}{2}\right)^4\left(-\dfrac{9}{2}\right)^2=\left(-\dfrac{3}{2}\right)^4\cdot\dfrac{81}{4}=\dfrac{9}{4}\cdot\dfrac{81}{4}=\dfrac{729}{16}\)
8: =(0,2*5)^4*5^2=25
10: =-0,5^5*2^10
=-0,5^5*2^5*2^5
=-32
13: =(0,5*2)^2*2^2=4
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\(\frac{4^5+4^5+4^5+4^5}{3^5+3^5+3^5}\)*\(\frac{6^5+6^5+^{_{6^5}}+6^5+6^5+6^5}{2^5+2^5}\)=\(^{2^x}\)