Bai 1 : Tính
a) 32x1/243x813x1/33
b) (42)5:(23x1/16)
c) 125x122/93x45
d) 25+26+27/27+28+29
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\(a,2^2=4,2^3=8,2^4=16,2^5=32,2^6=64,2^7=128,2^8=256,2^9=512,2^{10}=1024\)
\(b,3^2=9,3^3=27,3^4=81,3^5=243\)
\(c,4^2=16,4^3=64,4^4=256\)
\(d,5^2=25,5^3=125,5^4=625\)
\(\frac{25}{26}\times\frac{26}{27}\times\frac{27}{28}\times\frac{28}{29}\times\frac{29}{30}\)
\(=\frac{25\times26\times27\times28\times29}{26\times27\times28\times29\times30}\)
\(=\frac{25}{30}\)
\(=\frac{5}{6}\)
BÀI NÀY TÍNH BẰNG CÁCH LOẠI BỎ NHỮNG SỐ GIỐNG NHAU Ở TRÊN TỬ VÀ DƯỚI MẪU
1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50=1275
1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30 =465
(1+29)+(2+28)+(3+27)+(4+26)+(5+25)+(6+24)+(7+23)+(8+22)+(9+21)+(10+20)+(11+19)+(12+18)+(13+17)+(14+16)+15
=30+30+30+30+30+30+30+30+30+30+30+30+30+30+15
=30x14+15
=435
a) \(3^2.\frac{1}{243}.81^3.\frac{1}{33}\)
\(=\frac{3^2}{243}.\frac{81^3}{33}\)
\(=\frac{3^2}{3^5}.\frac{3^{12}}{3.11}\)
\(=\frac{1}{3^3}.\frac{3^{11}}{11}\)
\(=\frac{3^8}{11}.\)
b) \(42^5:\left(2^3.\frac{1}{16}\right)\)
\(=42^5:\frac{2^3}{16}\)
\(=42^5:\frac{2^3}{2^4}\)
\(=42^5:\frac{1}{2}\)
\(=42^5.2\)
\(=21^5.2^5.2\)
\(=21^5.2^6.\)
c) \(12^5.\frac{12^2}{9^3.4^5}\)
\(=\frac{12^7}{9^3.4^5}\)
\(=\frac{3^7.4^7}{3^6.4^5}\)
\(=3.4^2\)
\(=48.\)
d) \(\frac{2^5+2^6+2^7}{2^7+2^8+2^9}\)
\(=\frac{2^5\left(1+2+2^2\right)}{2^7\left(1+2+2^2\right)}\)
\(=\frac{2^5}{2^7}\)
\(=\frac{1}{4}.\)
cảm ơn bn nhiều