`@` `\text {Ans}`

`\downarrow`

`a)`

\(2^{13}\cdot4^5\cdot8^2\)

`=`\(2^{13}\cdot\left(2^2\right)^5\cdot\left(2^3\right)^2\)

`=`\(2^{13}\cdot2^{10}\cdot2^6\)

`=`\(2^{29}\)

`b)`

\(100^6. 1000^4. 1000000\)^\(33\)

`=`\(10^{12}\cdot10^{12}\cdot10^{198}=10^{222}\)

`c)`

\(24^5. 6^5. 8^8\)

`=`\(2^{15}\cdot3^5\cdot2^5\cdot3^5\cdot2^{24}\)

`=`\(2^{15+5+24}\cdot3^{5+5}\)

`=`\(2^{44}\cdot3^{10}\) 

a, \(2^{13}\cdot4^5\cdot8^2=2^{13}\cdot2^{10}\cdot2^6=2^{19}.\)

b, \(100^6\cdot1000^4\cdot1000000^{33}=10^{12}\cdot10^{12}\cdot10^{198}=10^{222}.\)

c, \(24^5\cdot6^5\cdot8^8=2^{15}\cdot3^5\cdot2^5\cdot3^5\cdot2^{24}=2^{44}\cdot3^{10}.\)

36³

<img src=https://hoc24.vn/images/avt/avt30201979_256by256.jpg><img src=https://hoc24.vn/images/avt/avt30201979_256by256.jpg>

\(5^{12}.25^4.125^3.625^2=5^{12}.\left(5^2\right)^4.\left(5^3\right)^3.\left(5^4\right)^2=5^{12}.5^8.5^9.5^8=5^{37}\)

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

Đề thiếu, bạn coi lại đề.

52.57 = 52+7 = 59

75.7 = 75+1 = 76

33.34 = 33+4 = 37

33.34=33.(33+1)=33.33+33=33^2+33

\(2^3\cdot2^2\cdot2^x\cdot x^5\cdot=2^{5+x}\cdot x^5\)

\(10^2\cdot2^{10}\cdot10^3\cdot10^5=10^{10}\cdot2^{10}=2^{10}\cdot5^{10}\cdot2^{10}=4^{10}\cdot5^{10}=20^{10}\)

\(a^3\cdot a^2\cdot a^5=a^{3+2+5}=a^{10}\)

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