Tính : 2^10 x 13 + 2^10 x 65 : 2^8 x 104
Nhanh len còn 10 phút nữa thôi
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\(2^{10}.13.2^{10}\cdot65\)
\(=1024.13.1024.65\)
\(=886046720\)
\(2^8.104\)
\(=256.104\)
\(=26624\)
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) \(\frac{2^{10}\cdot13+2^{10}\cdot65}{28\cdot104}=\frac{2^{10}\cdot13\cdot\left(1+5\right)}{2^5\cdot7\cdot13}=\frac{2^5\cdot6}{7}=\frac{192}{7}\)
A, 210x13+210x65/28x104
=210x(13+65)/28x4x26
=210x78/28x22x26
=210x78/210x26
=78/26
=3
b, (1+2+3+...+100)x(12+22+32+...+102)x(65x111-13.15.37)
=(1+2+3+...+100)x(12+22+..+102)x(7215-7215)
=(1+2+..+100)x(12+22+..+102)x0
=0
\(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)
\(=\frac{2^{10}.\left(13+65\right)}{2^8.104}\)
\(=\frac{2^8.2^2.81}{2^8.104}\)
\(=\frac{2^8.4.81}{2^8.104}\)
\(=\frac{2^8.324}{2^8.104}\)
\(=\frac{324}{104}\)
\(=\frac{81}{26}\)
\(\frac{2^{10}×13+2^{10}×65}{2^8×104}\)
\(=\frac{2^{10}×\left(13+65\right)}{2^8×104}\)
\(=\frac{2^8×2^2×81}{2^8×104}\)
\(=\frac{2^2×81}{104}\)
\(=\frac{324}{104}\)
\(=\frac{81}{26}\)
Làm cách này nhanh hơn nhé , bạn Xyz
2.
\(\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot\left(65\cdot111-13\cdot15\cdot37\right)\\ =\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot\left(65\cdot111-13\cdot5\cdot3\cdot37\right)\\=\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot\left[65\cdot111-\left(13\cdot5\right)\cdot\left(3\cdot37\right)\right]\\ =\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot\left[65\cdot111-65\cdot111\right]\\ =\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot0\\ =0\)
\(2^{10}.13+2^{10}.65:2^8.104=2^{10}.78:2^8.104=2^2.78.104=4.78.104=32448\)