tính ((4/9)^2*(-9/16)^1*(-1)^19)/((4/25)^2*(-25/144)^2*(-49/144)^2)
HELP ME!!!
((4/9)^2*(-9/16)^1*(-1)^19)/((4/25)^2*(-25/144)^2*(-49/144)^2)
\(\frac{\left(\frac{4}{9}\right)^2\cdot\left(\frac{-9}{16}\right)\cdot\left(-1\right)^{19}}{\left(\frac{4}{25}\right)^2\cdot\left(\frac{-25}{144}\right)^2\cdot\left(\frac{-49}{144}\right)^2}\)tính
D=(4/49)^2*(-49/16)*(-1)^10/(4/25)^2*(-25/144)^2:(-49/144)^2
Tính a):\(\frac{\left(\frac{4}{9}\right)^2.\left(-\frac{9}{16}\right).\left(-1\right)^{19}}{\left(\frac{4}{25}\right)^2.\left(-\frac{25}{144}\right)^2.\left(-\frac{49}{144}\right)^2}\)
b)\(\frac{\left(\frac{2}{3}\right)^3.\left(-\frac{3}{4}\right)^2.\left(-1\right)^{2003}}{\left(\frac{2}{5}\right)^2.\left(-\frac{5}{12}\right)^3}\)
tính
a) \(\left(\frac{4}{9}\right)^2.\left(\frac{-9}{16}\right).\left(-1\right)^{19}\)/\(\left(\frac{4}{25}\right)^2.\left(\frac{-25}{144}\right)^2.\left(\frac{-49}{144}\right)^2\) b) \(\frac{10^4.81-16.15^2}{4^4.675}\)
2) . Viết thành dạng lũy thừa vơi số mũ lớn hơn 1 các số sau đây 1).8. 2).25 3).4 4).49 5).81 6).36 7).100 8).121 9).144 10).169 11).27 12).125 13).1000 14).32 15).243 16).343 17).216 18).64 19).225 20).128
1: 8=2^3
2: 25=5^2
3: 4=2^2
4: 49=7^2
5: 81=9^2
6: 36=6^2
7: 100=10^2
8: 121=11^2
9: 144=12^2
10: 169=13^2
11: 27=3^3
12: 125=5^3
13: 1000=10^3
14: 32=2^5
15: 243=3^5
16: 343=7^3
17: 216=6^3
18: 64=4^3
19: 225=15^2
20: 128=2^7
Tính giá trị các biểu thức sau :
a) \(y=\frac{\left(\frac{4}{9}\right)^2.\left(-\frac{9}{16}\right).\left(-1\right)^{19}}{\left(\frac{4}{25}\right)^2.\left(-\frac{25}{144}\right)^2.\left(-\frac{49}{144}\right)^2}\)
b) \(\frac{3^8.20^5}{6^8.10^2}\)
c) \(\frac{\backslash-5\backslash.7^4+7^3.25}{7^5.125-7^3.50}\)
Các bạn giải hẳn ra giùm mình nhé. Dấu giá trị tuyệt đối ko viết đc nên đành dùng tạm dấu \ .
Bài 2: Tính nhanh:
a) \(\dfrac{3}{4}\cdot\dfrac{8}{9}\cdot\dfrac{15}{16}\cdot\dfrac{24}{25}\cdot.....\cdot\dfrac{120}{121}\cdot\dfrac{143}{144}\)
b)\(\dfrac{5}{9}\cdot\dfrac{21}{25}\cdot\dfrac{45}{49}\cdot\dfrac{77}{81}\cdot.....\dfrac{357}{361}\cdot\dfrac{437}{441}\)
ai làm đúng mk dùng 3nick mk tick cho :))))
a) \(A=\dfrac{3}{4}.\dfrac{8}{9}.\dfrac{15}{16}.\dfrac{24}{25}.....\dfrac{120}{121}.\dfrac{143}{144}\)
= \(\dfrac{1.3.2.4.3.5.4.6....10.12.11.13}{2^2.3^2.4^2.5^2...11^2.12^2}\)
= \(\dfrac{1.2.12.13}{2^2.12^2}=\dfrac{13}{2.12}=\dfrac{13}{24}\)
b) \(B=\dfrac{5}{9}.\dfrac{21}{25}.\dfrac{45}{49}.\dfrac{77}{81}....\dfrac{357}{361}.\dfrac{437}{441}\)
= \(\dfrac{1.5.3.7.5.9.7.11.....17.21.19.23}{3^2.5^2.7^2....19^2.21^2}=\dfrac{1.3.21.23}{3^2.21^2}\)
= \(\dfrac{23}{3.21}=\dfrac{23}{63}\)
Tính nhanh tổng a,1+4+9+16+25+....+144+169. b,1+2+4+8+16+32+........+256+512+1024