1.
a) \(3^4\times3^5\times3^6=3^{4+5+6}=3^{15}\)

b) \(5^2\times5^4\times5^5\times25=5^2\times5^4\times5^5\times5^2=5^{2+4+5+2}=5^{13}\)

c) \(10^8\div10^3=10^{8-3}=10^5\)

d) \(a^7\div a^2=a^{7-2}=a^5\)

2.

\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)

\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)

\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)

còn bài 2

1)52=2^2.13

3¹⁰: 3⁵

= 3 ⁵

a. 2^3 . 2^2 . 2^4

= 2^9

b. 10^2 . 10^3 . 10^5

= 10^10

c. x. x^5

= x^6

d. a^3 . a^2 . a^5

= a^10

a) \(2^3.2^2.2^4\)

   \(=2^{3+2+4}\)

   \(=2^9\)

b) \(10^2.10^3.10^5\)

   \(=10^{2+3+5}\)

   \(=10^{10}\)

c) \(x.x^5=x^1.x^5=x^6\)

d) \(a^3.a^2.a^5=a^{3+2+5}=a^{10}\)

2^(10 : 64 x 16) = 2^[(10 x 16) : 64] = 2^(160 : 64) = 2^25

2^(10 x 8) = 2^80     3^(5 : 27) = 3^(5/27)     5^(2 x 125) = 5^250     6^(6 : 36) = 6^(1/6)

a ) 100000 : 10 3 = 10 5 : 10 3 = 10 2 b ) 11 5 : 121 = 11 5 : 11 2 = 11 3 c ) 243 : 3 3 : 3 = 3 5 : 3 3 : 3 = 3 1 d ) 4 8 : 64 : 16 = 4 8 : 4 3 : 4 = 4 4

1) 3⁵ . 4⁵ = (3.4)⁵ = 12⁵

2) 8⁵ . 2³ = 2¹⁵ . 2³ = 2¹⁸

3^5. 4^5 = {3.4}^5 =12^5

8^5 .2^3 = 2^15.2^3 =2^18

thank you 2 ban

2⁵ . 4³ = 2⁵ . (2²)³ = 2⁵ . 2⁶ = 2^{5 + 6} = 2¹¹

\(2^{11}\)

\(2^5\cdot4^3=2^5\cdot2^6=2^{11}\)