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\(\frac{2^{10}.13.2^{10}.65}{2^8.104}=\frac{1024.13.1024.65}{256.104}\)
\(=\frac{1024.13.65}{256.104}=\frac{865280}{26642}\)
\(=32,5\)
\(\frac{2^{10}.13.2^{10}.65}{2^8.104}=\frac{2^{20}.13.65}{2^8.2^3.13}\)
\(=\frac{2^{20}.13.65}{2^{11}.13}\)
\(=2^9.65\)
\(=512.65\)
\(=33280\)
a)
\(4^{10}\cdot8^{15}=2^{20}\cdot2^{45}=2^{65}\)
b)
\(27^{16}\cdot9^{10}=3^{48}\cdot3^{20}=3^{68}\)
a) 410 . 815 = (22)10 . (23)15 = 220 . 245 = 265
b) 2716 . 910 = (33)16 .(32)10=348 . 320 = 368
c) \(\frac{2^{10}\cdot13+2^{10}\cdot65}{28\cdot104}=\frac{2^{10}\cdot13\cdot\left(1+5\right)}{2^5\cdot7\cdot13}=\frac{2^5\cdot6}{7}=\frac{192}{7}\)
b, \(\frac{2^{10}\left(13+65\right)}{2^8.104}\)
=\(\frac{2^2.78}{104}\)=\(\frac{312}{104}\)=3
bài 2
\(2^x\cdot7=224\)
\(\Rightarrow2^x=224\div7\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
\(\left(3^x+5\right)^2=289\)
\(\Rightarrow\left(3^x+5\right)^2=17^2\)
\(\Rightarrow3^x+5=17\)
\(\Rightarrow3^x=17-5\)
\(\Rightarrow3^x=12\)
a, 410.815=220.245=265
b,415.530=230.530=(2.5)30=1030
c, \(\frac{2^{10^{ }}.13+2^{10^{ }}.65}{2^{8^{ }}.104}\)
=\(\frac{2^{10}\left(13+65\right)}{2^8.2^2.26}\) =\(\frac{2^{10}.78}{2^{10}.26}\) =\(\frac{78}{26}\)=3
\(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}=\frac{3^{10}.\left(11+5\right)}{3^9.16}=\frac{3.16}{16}=3\)
\(\frac{2^{10}.13+2^{10}.65}{2^8.104}=\frac{2^{10}.\left(13+65\right)}{2^8.104}=\frac{4.78}{104}=\frac{312}{104}=3\)
~ Chúc em học tốt ~
trả lời
\(\frac{2^{10}.13.2^{10}.65}{28.104}\)=\(\frac{2^{20}.13^2.5}{2^5.7.13}=\frac{2^{15}.13.5}{7}\)
nếu thấy đúng thì tích
nếu sai thì thì thôi