\(d.4.4.4.4.4.16=2^2.2^2.2^2.2^2.2^2.2^4=2^{14}\)

\(e.5.5.5.5.3.3.3.15=5^4.3^3.3.5=5^5.3^4\)

\(e.6.6.6.7.7.7.42=6^3.7^3.2.3.6=2^3.3^3.7^4.2.3=2^4.3^4.7^4\)

4.4.4.4.4.16=4.4.4.4.4.4.4=47

5.5.5.5.3.3.3.15=15.15.15.5.15=154.5

6.6.6.7.7.7.42=42.42.42.42=424

\(d)4.4.4.4.4.16\\ =4.4.4.4.4.4.4\\ =4^7\)

\(e)5.5.5.5.3.3.3.15\\ =5.5.5.5.3.3.3.5.3\\ =5^5.3^4\)

\(e)6.6.6.7.7.7.42\\ =6.6.6.7.7.7.6.7\\ =6^4.7^4\)

d) \(4^4.4^2=4^6=2^{12}\)

e) \(5^4.3^3.3.5=3^4.5^5\)

f) \(6^3.7^3.6.7=6^4.7^4\)

4.4.4.4.4.16=4.4.4.4.4.4.4=4⁷

5.5.5.5.3.3.3.15=15.15.15.5.15=15⁴.5

6.6.6.7.7.7.42=42.42.42.42=42⁴

d) (4 . 5) . 16= 20.16=320

e) (5.4).(3.3).15= (20.9).15=180.15=2700

e) (6.3).(7.3).42= (18.21).42=378.42=15876

1) 3 . 3 . 9 . 33 = 3 . 3 .3 . 3. 3 . 11 = 3⁵ . 11

2) 100 . 10 . 10 . 5 . 2 = 10 . 10 . 10 . 10 . 10 = 10⁵

3) 3 . 3 . 7 . 21 = 3 . 3 . 3 .7 . 7 = 3³ . 7²

4) 5 . 2 . 5 . 5 . 2 . 5 . 2 . 2 . 2 . 5 = 5⁵ . 2⁵

5) a . a . b . a . b = a³ . b²

21/21=1/1

3/3=1/1

4/5=4/5 phân số tối giản ùi 5/6 cx thế 

ủng hộ nhiệt tình nha

21/21=1,3/3=1

Hai cái còn lại là ps tối giản rùi

viết gọn tích sau trong đó có sử dụng lũy thừa

3*3*3*...*3*4*4..4....4= 3ⁿ.4ⁿ⁺¹

12⁵.36⁴.54³=(3.2²)⁵.(2².3²)⁴.(3³.2)³=3⁵.2¹⁰.2⁸.3⁸.3⁹.2³=3²².2²¹

Ai thấy đúng thì ủng hộ nha

l) 27^8=(3³)⁸=3²⁴

=>27⁸:3²²=3²⁴:3²²

=3^24-22=3²

m) 8^4=(2³)⁴=2¹²

4⁵=(2²)⁵=2¹⁰

=>8⁴:4⁵=2¹²:2¹⁰

=2^12-10=2²

a) \(27^8:3^{22}\)

\(=\left(3^3\right)^8:3^{22}\)

\(=3^{24}:3^{22}=3^{24-22}\)

\(=3^2\)

b) \(8^4:4^5\)

\(=\left(2^3\right)^4:\left(2^2\right)^5\)

\(=2^{12}:2^{10}=2^{12-10}=2^2\)

2⁴ . 6¹⁵ . 3⁴

= 2⁴ . ( 2.3)¹⁵ . 3⁴

=2⁴ . 2¹⁵ . 3 ¹⁵ . 3⁴

= 2¹⁹ . 3¹⁹

= 6¹⁹

\(5^{13}.30^{21}.6^{17}=5^{13}.5^{21}.6^{21}.6^{17}\)\(=5^{34}.6^{38}\)\(=5^{34}.6^{34}.6^4\)\(=30^{34}.6^4\)

a, 4⁸.8⁴

= (2²)⁸.(2³)⁴

= 2¹⁶.2¹²

= 2²⁸

b, 4¹⁵.5¹⁵

= (4.5)¹⁵

= 20¹⁵

c, 2¹⁰.15 + 2¹⁰.85

= 2¹⁰.(15 + 85)

= 2¹⁰.100

=2¹⁰.(2.5)²

= 2¹².5²

d, 3³.9²

= 3³ . (3²)²

= 3³.3⁴

= 3⁷

e, 5¹².7 - 5¹¹.10

= 5¹¹.(5.7 - 10)

= 5¹¹.25

=5¹¹.5²

=5¹³

f, \(x^1\).\(x^2\).\(x^3\)....\(x^{100}\)

= \(x^{1+2+3+...+100}\)

= \(x^{\left(1+100\right).100:2}\)

= \(x^{5050}\)

❤Em cảm ơn cô Nguyễn Thương hoài rất nhiều a!❤

a, 48.84

= (22)8.(23)4

= 216.212

= 228

b, 415.515

= (4.5)15

= 2015

c, 210.15 + 210.85

= 210.(15 + 85)

= 210.100

=210.(2.5)2

= 212.52

d, 33.92

= 33 . (32)2

= 33.34

= 37

e, 512.7 - 511.10

= 511.(5.7 - 10)

= 511.25

=511.52

=513

f, �1x1.�2x2.�3x3....�100x100

= �1+2+3+...+100x1+2+3+...+100

= �(1+100).100:2x(1+100).100:2

= �5050x5050

Ta có:

Chọn đáp án B.