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![](https://rs.olm.vn/images/avt/0.png?1311)
\(64=8^2\)
\(225=15^2\)
\(289=17\)
\(391=\left(\sqrt{391}\right)^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)13+23=1 + 8 = 9 là số bình phương
b)13+23+33=1 + 8 + 27 = 36 là số bình phương
c)13+23+33+43=1 + 8 + 27 + 64 = 100 là số bình phương
![](https://rs.olm.vn/images/avt/0.png?1311)
1) 196 = 142
2) 216 = 63
3) Dự đoán: 11112 = 1 234 321
Kiểm tra lại: 11112 = 1111 x 1111 = 1 234 321
4)
a)
\(1^3+2^3+3^3+4^3\\ =1+8+27+64\\ =100\\ =10^2\)
b)
\(1^3+2^3+3^3+4^3+5^3\\ =100+5^3\\ =100+125\\ =225\\ =15^2\)
1. \(196=14^2\)
2. \(216=6^3\)
3. \(1111^2=1234321\)
4.
a)\(1^3+2^3+3^3+4^3\)
\(=3+8+27+64\)
\(=100\)
\(=10^2\)
b) \(1^3+2^3+3^3+4^3+5^3\)
\(=100+125\)
\(=225=15^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
= ( 1 + 2 + 3 + 4 ) 3 - 1
= 102
Câu dưới cũng như vậy nha !!
![](https://rs.olm.vn/images/avt/0.png?1311)
0=0 : 11=121
1=1 : 12=144
2=4 : 13=169
3=9 : 14=196
4=16 : 15=225
5=25 : 16=256
6=36 : 17=289
7=49 : 18=324
8=64 : 19=361
9=81 : 20=400
10=100
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
\(a,\left(\frac{1}{2}\right)^{3x-1}=\frac{1}{32}\)
\(\Rightarrow\left(\frac{1}{2}\right)^{3x-1}=\left(\frac{1}{2}\right)^5\)
\(\Rightarrow3x-1=5\)
\(\Rightarrow3x=6\)
\(\Rightarrow x=2\)
\(b,\frac{64}{\left(-2\right)^x}=-8\)
\(\Rightarrow\left(-2\right)^x=64:\left(-8\right)\)
\(\Rightarrow\left(-2\right)^x=-8\)
\(\Rightarrow\left(-2\right)^x=\left(-2\right)^3\)
\(\Rightarrow x=3\)
\(c,\left(-2\right)^3+0,5x=1,5\)
\(\Rightarrow-8+0,5x=1,5\)
\(\Rightarrow0,5x=9,5\)
\(\Rightarrow x=19\)
Bài 2,
\(a,\frac{3}{8}.27\frac{1}{5}-51\frac{1}{5}.\frac{3}{8}+19=\frac{3}{8}\left(27\frac{1}{5}-51\frac{1}{5}\right)+19\)
\(=\frac{3}{8}\left(-24\right)+19\)
\(=-9+19=10\)
\(b,25\left(-\frac{1}{5}\right)^3+\frac{1}{5}-2.\left(-\frac{1}{2}\right)^2-\frac{1}{2}=-\frac{1}{5}+\frac{1}{5}-\left(-\frac{1}{2}\right)-\frac{1}{2}\)
\(=0\)
\(c,35\frac{1}{6}:\left(-\frac{4}{5}\right)-45\frac{1}{6}:\left(-\frac{4}{5}\right)=-\frac{4}{5}\left(35\frac{1}{6}-45\frac{1}{6}\right)\)
\(=-\frac{4}{5}.\left(-10\right)=8\)
\(d,\left(-0,25\right).8,7.2^2=\left(-0,25\right).8,7.4\)
\(=-1.8,7=-8,7\)
\(e,13\frac{1}{3}.\frac{5}{8}-23\frac{1}{3}:\frac{8}{5}=\frac{40}{3}.\frac{5}{8}-\frac{70}{3}.\frac{5}{8}\)
\(=\frac{5}{8}\left(\frac{40}{3}-\frac{70}{3}\right)\)
\(=\frac{5}{8}.-10\)
\(=-\frac{25}{4}\)
\(64=2^6\)
\(225=15^2\)
\(289=17^2\)
\(391=17\cdot23\)
64 = 8^ 2
225 = 15^ 2
289 = 17^ 2
391 = (gắt lắm nha =^=)