1) \(9\cdot9\cdot9\cdot9\cdot3\cdot3\)
\(=3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\)
\(=3^{10}\)
2) \(8\cdot2\cdot2\cdot2\cdot16\cdot4\)
\(=2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\)
\(=2^{12}\)
3) \(3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5\)
\(=3^4\cdot5^4\)
4) \(25\cdot25\cdot25\cdot5\)
\(=5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\)
\(=5^7\)
5) \(7\cdot49\cdot7\cdot7\cdot7\)
\(=7\cdot7\cdot7\cdot7\cdot7\cdot7\)
\(=7^6\)
6) \(8\cdot64\cdot8\cdot64\)
\(=2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\)
\(=2^{18}\)
7) \(2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot4\)
\(=2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\)
\(=2^8\)
1) 310
2) 212
3)34 . 54
4) 57
5) 76
6)86
7) 28.
1) \(...=3^2.3^2.3^2.3^2.3^2=3^{10}\)
2) \(...=2^3.2^3.2^4.2^2=2^{12}\)
3) \(...=3^3.3.5.5.5.5=3^4.5^4\)
4) \(...=5^2.5^2.5^2.5=5^7\)
5) \(...=7.7^2.7.7.7=7^6\)
6) \(...=2^3.\left(2^3\right)^2.2^3.\left(2^3\right)^2=2^3.2^6.2^3.2^6=2^{18}\)
7) \(...=2^6.2^2=2^8\)
Nguyễn Minh Dương
Phong
Nguyễn Đức Trí
Câu 3 là dưới dạng 1 lũy thừa à?
1) 310
2) 211
3) 34 . 54
4) 57
5) 76
6) 86
7) 28
\(\text{∘ Ans}\)
\(\downarrow\)
\(\text{1)}\)
\(\text{9.9.9.9.3.3}\)
\(=9^4\cdot3^2\)
\(=\left(3^2\right)^4\cdot3^2\)
\(=\)\(3^8\cdot3^2=3^{10}\)
\(\text{2)}\)
\(\text{8.2.2.2.16.4}\)
\(=2^3\cdot2^3\cdot2^4\cdot2^2\)
\(=\)\(2^{3+3+4+2}=2^{12}\)
\(\text{3)}\)
\(\text{3.3.3.15.5.5.5}\)
\(=3^3\cdot3\cdot5\cdot5^3\)
\(=\)\(3^4\cdot5^4=\left(3\cdot5\right)^4=15^4\)
\(\text{4)}\)
\(\text{25.25.25.5}\)
\(=25^3\cdot5\)
\(=\left(5^2\right)^3\cdot5=5^6\cdot5=5^7\)
\(\text{5)}\)
\(\text{7.49.7.7.7}\)
\(=7^4\cdot7^2\)
\(=7^6\)
\(\text{6)}\)
\(\text{8.64.8.64}\)
\(=8^2\cdot64^2\)
\(=8^2\cdot\left(8^2\right)^2\)
\(=8^2\cdot8^4\)
\(=8^6\)
\(\text{7)}\)
\(\text{2.2.2.2.2.2.4}\)
\(=2^6\cdot2^2\)
\(=2^8\)
1) 310
2) 212
3)34 . 54
4) 57
5) 76
6)86
7) 28.
