\(y=\frac{50^{15}.13^{18}}{25^7.26^{15}.5^{16}}\) Tính
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![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{50^{15}\cdot13^{18}}{25^7\cdot26^{15}\cdot5^{16}}=\frac{5^{15}\cdot2^{15}\cdot13^{18}}{5^{14}\cdot13^{15}\cdot2^{15}\cdot5^{16}}=\frac{5^{15}\cdot2^{15}\cdot13^{18}}{5^{30}\cdot2^{15}\cdot13^5}=\frac{13^{13}}{5^{15}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{60^8}{12^7.5^8}=\frac{2^{16}.3^8.5^8}{2^{14}.3^7.5^8}=\frac{2^2.3}{1}=12\)
\(\frac{50^{15}.13^{18}}{25^7.26^{15}.5^{16}}=\frac{2^{15}.5^{30}.13^{18}}{5^{30}.2^{15}.13^{15}}=2197\)
\(\frac{10^4}{5^3}=\frac{5^4.2^4}{5^3}=80\)
\(\frac{60^8}{12^7.5^8}=\frac{2^3.3}{1}=12\)
\(\frac{50^{15}.13^{18}}{25^7.26^{15}}=2197\)
\(10^4:5^3=10000:125=80\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{50^{15}.13^{18}}{25^7.26^{15}.5^{16}}=\frac{\left(5.5.2\right)^{15}.13^{18}}{\left(5.5\right)^7.\left(13.2\right)^{15}.5^{16}}=\frac{5^{15}.5^{15}.2^{15}.13^{18}}{5^7.5^7.13^{15}.2^{15}.5^{16}}=\frac{5^{30}.2^{15}.13^{18}}{5^{30}.13^{15}.2^{15}}=13^3=2197\)
![](https://rs.olm.vn/images/avt/0.png?1311)
5) 24*(15+49)+12*(50+42)
=24*64+12*92
=24*64+12*2*46
=24*64+24*46
=24*(64+46)
=24*110
=2640
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2:
a: \(2^2\cdot3-4=4\cdot3-4=12-4=8\)
b: \(16-2^3\cdot2=16-2^4=16-16=0\)
c: \(4^2-4\cdot2=16-8=8\)
d: \(3^3-2\cdot3^2=27-2\cdot9=27-18=9\)
e: \(7^2-9\cdot2^2=49-9\cdot4=49-36=13\)
f: \(2^2\cdot3+4^2=4\cdot3+16=12+16=28\)
Bài 1:
a: \(13+21\cdot5-\left(198:11-8\right)\)
\(=13+105-18+8\)
=21+87
=108
b: \(272:16-5+4\cdot\left(30-5-255:17\right)\)
\(=17-5+4\cdot\left(30-5-15\right)\)
\(=12+4\cdot10=12+40=52\)
c: \(15\cdot24-14\cdot5\cdot\left(145:5-27\right)\)
\(=360-70\left(29-27\right)\)
=360-140
=220
d: \(18\cdot3-18\cdot2+3\cdot\left(\dfrac{51}{17}\right)\)
\(=18\left(3-2\right)+3\cdot3\)
=18+9
=27
e: \(64+115+36-25\cdot8\cdot6\cdot2^2\cdot3+4^2\)
\(=100+115-200\cdot6\cdot4\cdot3+16\)
\(=231-14400=-14169\)
f: \(15\cdot8-\left(17-30+83\right)-144:6\)
\(=120-24-\left(100-30\right)\)
=96-70
=26
![](https://rs.olm.vn/images/avt/0.png?1311)
1+2+3+4+5+6+7+8+9+10=55
11+12+13+14+15+16+17+18+19+20=155
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+30-50-53=362
\(y=\frac{50^{15}.13^{18}}{25^7.26^{15}.5^{16}}=\frac{\left(2.5\right)^{15}.13^{18}}{\left(5^2\right)^7.\left(2.13\right)^{15}.5^{16}}=\frac{2^{15}.5^{15}.13^{18}}{5^{14}.5^{16}.2^{15}.13^{15}}=\frac{2^{15}.5^{15}.13^{18}}{5^{30}.2^{15}.13^{15}}=\frac{13^3}{15^{15}}\)