\(12^{55}\): \(6\)

a: 6*6*6*6*6=6^5

b: 25*25*25*5=5^2*5^2*5^2*5=5^7

c: 8*2*2*16*4

=2^3*2^2*2^4*2^2

=2^11

d: \(3\cdot3\cdot3\cdot15\cdot5\cdot5\cdot5=15\cdot15\cdot15\cdot15=15^4\)

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) \(...=2^6.2^2=2^8\)

 2 x 2 x 3 x 3 x 3 x 6

=\(2^2.3^3.6\)

HT

Dấu"." là dấu nhân nhé

2 x 2 x 3 x 3 x 3 x 6 

= \(2^2.3^3.6\)

= 648 

@Trunglaai?

= 2x2x3x3x3x2x3

= 2³ x 3⁴

2²​ . 2³

nhầm phải là 2² .3³

2.3.3.3.2

= 2² , 3²

2:

a: n=5^4

=>n=625

b: n^3=125

=>n^3=5^3

=>n=5

c: 11^n=1331

=>11^n=11^3

=>n=3

144 mũ 5

Đề bài \(\left(\frac{432}{3}\right)^5\)như thế này á