Trả lời câu hỏi sau đây :
16 ÷ 8 + 8( 17 - 3x ) =10 mũ 4 ÷10 mũ 3
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1. 53 = 5.5.5 = 125
2. 27 = 2.2.2.2.2.2.2 = 128
3. 44 = 4.4.4.4 = 256
4. 73 = 7.7.7 = 343
6. 35 = 243
7. 26 = 64
8. 34 = 81
9. 83 = 512
11. 132 = 169
12. 112 = 121
13. 142 = 196
14. 152 = 225
16. 172 = 289
17. 182 = 324
18. 192 = 361
19. 202 = 400
21. 104 = 10000
22. 105 = 100000
23. 106 = 1000000
24. 107 = 10000000
Bài làm :
\(a,4^8.8^4=\left(2^2\right)^8.\left(2^3\right)^4=2^{16}.2^{12}=2^{28}\)
\(b,3^3.9^2=3^3.\left(3^2\right)^2=3^3.3^4=3^7\)
\(c,125^{10}:25^6=\left(5^3\right)^{10}:\left(5^2\right)^6=5^{30}:5^{12}=5^{18}\)
\(d,8^8:4^8=\left(2^3\right)^8:\left(2^2\right)^8=2^{24}:2^{16}=2^8\)
\(e,16^3:8^4=\left(2^4\right)^3:\left(2^3\right)^4=2^{12}:2^{12}=1\)
\(f,2^{10}.15+2^{10}.17\)
\(=2^{10}.\left(15+17\right)\)
\(=2^{10}.32\)
\(=2^{10}.2^5\)
\(=2^{15}\)
Học tốt nhé
a)\(\left(\frac{1}{5}\right)^{10}.5^{20}=\left(\frac{1}{5}\right)^{10}.5^{10.2}=\left(\frac{1}{5}\right)^{10}.25^{10}=\left(\frac{1}{5}.5\right)^{10}=1^{10}=1\)
b)\(5^2.3^5.\left(\frac{3}{5}\right)^2=\left(\frac{3}{5}.5\right)^2.3^5=3^2.3^5=3^7\)
c)\(\left(\frac{1}{16}\right)^3:\left(\frac{1}{8}\right)^2=\left(\frac{1}{8}\right)^{2.3}:\left(\frac{1}{8}\right)^2=\left(\frac{1}{8}\right)^{6+2}=\left(\frac{1}{8}\right)^8\)
\(a.\left(\frac{1}{5}\right)^{10}.5^{20}=\left(\frac{1}{5}\right)^{10}.5^{10.2}=\left(\frac{1}{5}\right)^{10}.\left(5^2\right)^{10}=\left(\frac{1}{5}\right)^{10}.25^{10}=\left(\frac{1}{5}.25\right)^{10}=5^{10}.\)
\(b.5^2.3^5.\left(\frac{3}{5}\right)^2=\left[5^2.\left(\frac{3}{5}\right)^2\right].3^5=\left(5.\frac{3}{5}\right)^2.3^5=3^2.3^5=3^7\)\(c.\left(\frac{1}{16}\right)^3:\left(\frac{1}{8}\right)^2=\left[\left(\frac{1}{4}\right)^2\right]^3:\left[\left(\frac{1}{2}\right)^3\right]^2=\left(\frac{1}{4}\right)^6:\left(\frac{1}{2}\right)^6=\left(\frac{1}{4}:\frac{1}{2}\right)^6=\left(\frac{1}{2}\right)^6\)
\(\left(3x-8\right)^{10}=\left(3x-8\right)^2\\ \Rightarrow\left(3x-8\right)^{10}-\left(3x-8\right)^2=0\\ \Rightarrow\left(3x-8\right)^2\left[\left(3x-8\right)^8-1\right]=0\\ \Rightarrow\left[{}\begin{matrix}\left(3x-8\right)^2=0\\\left(3x-8\right)^8=1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}3x-8=0\\3x-8=1\\3x-8=-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{8}{3}\\x=3\\x=\dfrac{7}{3}\end{matrix}\right.\)
\(243\le3^{2x-1}\le3^8\\ \Rightarrow3^5\le3^{2x-1}\le3^8\\ \Rightarrow2x-1\in\left\{5;6;7;8\right\}\\ \Rightarrow x\in\left\{3;\dfrac{7}{2};4;\dfrac{9}{2}\right\}\)
a: 26⋅33=(22⋅3)3=12326⋅33=(22⋅3)3=123
b: 64⋅83=24⋅34⋅29=213⋅3464⋅83=24⋅34⋅29=213⋅34
c: 16⋅81=36216⋅81=362
d: 254⋅28=1004
mình cũng hỏi về cái này gấp nha ai biết trả lời câu nào thì trả
A=5^10 .9+5^10.7 / 5^9.2^4
A=5^10.(9+7) / 5^9.16
A=5^10.16 /5^9.16
A=5^9.5.16/5^9.16
=>A=5/1
=>A=1
B=2^10.55+2^10. 26 / 2^8 . 27
B=2^10.(55+26) / 2^8 .27
B=2^10.81 / 2^8 .27
B=2^8.2^2.81 / 2^8.27
=>B=2^2.81 / 27
=>B=4.81 / 27
=>B=4.3^3.3 / 3^3
=>B=4.3
=>B=12
Cn phần C thì....mik chưa rõ lém nhưng mak nếu ai cko mik là dzui lém òy......ủng hộ nhoa mina
\(\frac{16}{8}+8\left(17-3x\right)=\frac{10^4}{10^3}\)
\(2+8\left(17-3x\right)=10\)
\(8\left(17-3x\right)=10-2\)
\(8\left(17-3x\right)=8\)
\(17-3x=\frac{8}{8}\)
\(17-3x=1\)
\(3x=17-1\)
\(3x=16\)
\(x=\frac{16}{3}\)
16 : 8 + 8.(17 - 3x) = 104 : 103
2 + (8.17 - 8.3x) = 10
=> 136 - 24x = 10 - 2
=> 136 - 24x = 8
=> 24x = 136 - 8
=> 24x = 128
=> \(x=\frac{128}{24}=\frac{16}{3}\)
Vậy \(x=\frac{16}{3}\)