a: \(4^{10}\cdot2^{30}=2^{30}\cdot2^{20}=2^{50}\)

b: \(9^{25}\cdot27^4\cdot81^2=3^{50}\cdot3^{12}\cdot3^8=3^{70}\)

c: \(25^{50}\cdot125^5=5^{100}\cdot5^{15}=5^{115}\)

d: \(64^3\cdot4^8\cdot16^4=4^9\cdot4^8\cdot4^8=4^{25}\)

e: \(2^{10}:8^3=2^{10}:2^9=2\)

\(12^7:6^7=\left(\dfrac{12}{6}\right)^7=2^7\)

f: \(5^8:25^2=5^8:5^4=5^4\)

\(4^9:64^2=4^9:4^6=4^3\)

\(2^{25}:32^4=2^{25}:2^{20}=2^5\)

\(125^3:25^4=5^9:5^8=5\)

g: 2^5*8^4

=2^5*(2^3)^4

=2^5*2^12

=2^17

a)  8 3 . 2 4 = ( 2 3 ) 3 . 2 4 = 2 13

b)  2 5 . 4 3 . 16 2 = 2 5 . ( 2 2 ) 3 . ( 2 4 ) 2 = 2 19

c)  8 2 . 2 3 . 4 5 = ( 2 3 ) 2 . 2 3 . ( 2 2 ) 5 = 2 19

d)  3 5 . 3 2 . 9 3 = 3 5 . 3 2 . ( 3 2 ) 3 = 3 13

e)  3 4 . 27 3 . 81 2 = 3 4 . ( 3 3 ) 3 . ( 3 4 ) 2 = 3

f)  10 3 . 100 3 . 1000 = 10 3 . ( 10 2 ) 3 . 10 3 = 10 12

a)  8 3 . 2 4 = 2 3 3 . 2 4  = 2 13

b)  2 5 . 4 3 . 16 2 = 2 5 . 2 2 3 . 2 4 2 = 2 19

c)  8 2 . 2 3 . 4 5 = 2 3 2 . 2 3 . 2 2 5 = 2 19

d)  3 5 . 3 2 . 9 3 = 3 5 . 3 2 . 3 2 3 = 3 13

e)  3 4 . 27 3 . 81 2 = 3 4 . 3 3 3 . 3 4 2 = 3 21

f)  10 3 . 100 3 . 1000 = 10 3 . 10 2 3 . 10 3 = 10 12

a)  8 3 .   2 4   =   ( 2 ³ ) 3   .   2 4   =   2 13

b)  2 5   .   4 3 .   16 2   =   2 5   .   ( 2 ² ) 3   .   ( 2 ⁴ ) 2   =   2 19

c)  8 2 .   2 3   .   4 5   =   ( 2 ³ ) 2 .   2 3 .   ( 2 ² ) 5   =   2 19

d)  3 5 . 3 2 . 9 3   =   3 5   .   3 2 .   ( 3 ² ) 3   =   3 13

e)  3 4 .   27 3 .   81 2   =   3 4   .   ( 3 ³ ) 3   . ( 3 ⁴ ) 2   =   3 21

f)  10 3   .   100 3   .   1000   =   10 3   .   ( 10 ² ) 2 .   10 3   =   10 12

a: \(3\cdot3\cdot3\cdot3\cdot3=3^5\)

b: \(y\cdot y\cdot y\cdot y=y^4\)

c: \(5\cdot p\cdot5\cdot p\cdot2\cdot q\cdot4\cdot q=25\cdot2\cdot4\cdot p^2q^2=2\cdot\left(10qp\right)^2\)

d: \(a\cdot a+b\cdot b+c\cdot c+d\cdot d\cdot d\cdot d=a^2+b^2+c^2+d^4\)

cảm ơn cậu nhiều

a,  3 2

b,  3 2

c,  3 1

d,  5 2

e,  10 3

f,  12 0

a)  3 2   

b) 3 2

c) 3 1      

d)  5 2

e) 10 3

f)  12 0  

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.

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

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

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

a,  8 2 . 32 4 =  2 3 2 . 2 5 4 = 2 3 . 2 . 2 5 . 4 = 2 6 . 2 20 = 2 6 + 20 = 2 26

b,  27 4 . 9 3 . 243 =  3 3 4 . 3 2 3 . 3 5 =  3 3 . 4 . 3 2 . 3 . 3 5 = 3 12 . 3 6 . 3 5 =  3 12 + 6 + 5 = 3 23

c,  13 2 - 12 2 = 169  - 144 = 25 =  5 2

d,  6 2 + 8 2 = 36 + 64 = 100 =  10 2

e,  5 3 + 5 4 + 125 2 . 5 3 =  5 3 + 5 4 + 5 3 . 2 . 5 3 =  5 3 + 5 4 + 5 6 . 5 3 =  5 3 . 1 + 5 + 5 3 . 5 3 = 5 6 . 131

f,  1 3 + 2 3 + 3 3 + 4 3 + 5 3 = 1 + 8 + 27 + 64 + 125 = 225 =  15 2