Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
1/ \(=-\frac{64}{27}.\frac{243}{32}\)
\(=-\frac{243}{16}\)
2/ \(=\frac{1}{81}.\frac{5361441}{64}\)
\(=\frac{6561}{64}\)
3/ \(=-\frac{2197}{512}.36,71356045\)
\(=-\frac{2048}{13}\)
tíc mình nha
1\(\left(-\frac{4}{3}\right)^3.\left(\frac{9}{16}\right)^5=-\frac{2187}{16384}\)
2\(\left(\frac{1}{3}\right)^4.\left(-\frac{9}{2}\right)^6=\frac{6561}{64}\)
3\(\left(-\frac{13}{8}\right)^3.\left(-\frac{32}{13}\right)^4=-41,00457607\)
\(A=\dfrac{3^6\cdot3^8\cdot5^4-5^{13-9}\cdot3^{13}}{3^{12}\cdot5^6+3^{12}\cdot5^6}\)
\(=\dfrac{3^{14}\cdot5^4-5^4\cdot3^{13}}{3^{12}\cdot5^6\cdot2}\)
\(=\dfrac{3^{13}\cdot5^4\cdot2}{3^{12}\cdot5^6\cdot2}=\dfrac{3}{25}\)
\(B=\left(\dfrac{2}{5}\cdot5\right)^7+\left(\dfrac{9}{4}:\dfrac{3}{16}\right)^3=1+12^3=1729\)
Câu 1:
a) 2225 và 3150
Ta có:2225=(29)25=51225
3150=(36)25=72925
Vì 51225<72925
Suy ra: 2225<3150
Câu 2:
a)\(25^3:5^2=\left(5^2\right)^3:5^2=5^6:5^2=5^4\)
b)\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^6=\left(\frac{3}{7}\right)^{21}:\left[\left(\frac{3}{7}\right)^2\right]^6=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{12}=\left(\frac{3}{7}\right)^9\)
c)\(3-\left(-\frac{6}{7}\right)^0+\left(\frac{1}{2}\right)^2:2=3+\frac{1}{4}:2=3+\frac{1}{8}=\frac{25}{8}\)
Câu 3:
a)\(9.3^3.\frac{1}{81}.3^2=3^2.3^3.3^2.\left(\frac{1}{3^4}\right)=3^7:3^4=3^3\)
b)\(4.2^5:\left(2^3.\frac{1}{16}\right)=2^2.2^5:\left(2^3.\frac{1}{2^4}\right)=2^7:\frac{1}{2}=2^8\)
c)\(3^2.2^5.\left(\frac{2}{3}\right)^2=288.\frac{4}{9}=2^7\)
d)\(\left(\frac{1}{3}\right)^3.\frac{1}{3}.9^2=\left(\frac{1}{3}\right)^4.\left(3^2\right)^2=3^4.\left(\frac{1}{3}\right)^4=3^4:3^4=1\)
\(=\dfrac{\left[\dfrac{2^{13}\cdot3^{14}}{3^{13}}+\dfrac{3^{18}}{2^{12}}:\dfrac{3^{12}}{2^{24}}\right]}{2^{12}\cdot3^4+2^{12}\cdot3^2}\)
\(=\dfrac{\left[\dfrac{2^{13}}{3}+\dfrac{2^{12}}{3^6}\right]}{2^{12}\cdot3^2\cdot\left(3^2+1\right)}=\dfrac{2^{12}\cdot\left(\dfrac{2}{3}+\dfrac{1}{3^6}\right)}{2^{12}\cdot3^2\cdot10}\)
\(=\left(\dfrac{487}{729}\right):\dfrac{1}{90}=\dfrac{4870}{81}\)
1)\(\frac{4^6.45}{2^4}=\frac{\left(2^2\right)^6.45}{2^4}=\frac{2^{12}.45}{2^4}=2^8.45=256.45=11520\)
2)\(\frac{8^5.16^3}{4^{13}}=\frac{8^5.\left(4^2\right)^3}{4^{13}}=\frac{8^5.4^6}{4^{13}}=\frac{8^5}{4^7}=\frac{\left(8^2\right)^2.8}{\left(4^3\right)^2.4}=\frac{64^2.8}{64^2.4}=\frac{8}{4}=2\)
3)Cái này bạn tự làm vì dễ rồi
4)\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(5^2.3\right)^{15}}=\frac{3^{20}.5^{10}.5^{20}}{5^{30}.3^{15}}=\frac{3^{20}.5^{30}}{5^{30}.3^{15}}=3^5=243\)
Chúc bạn học tốt
Trả lời:
1,\(\frac{4^6\times45}{2^4}=\frac{\left(2^2\right)^6\times45}{2^4}\)
\(=\frac{2^{12}\times45}{2^4}\)
\(=2^8\times45\)
\(=256\times45\)
\(=11520\)
2,\(\frac{8^5\times16^3}{4^{13}}=\frac{\left(2^3\right)^5\times\left(2^4\right)^3}{\left(2^2\right)^{13}}\)
\(=\frac{2^{15}\times2^{12}}{2^{26}}\)
\(=\frac{2^{27}}{2^{26}}\)
\(=2\)
3,\(\frac{2^{10}\times13+2^{10}\times65}{2^8\times104}=\frac{2^{10}\times\left(13+65\right)}{2^8\times104}\)
\(=\frac{2^{10}\times78}{2^8\times104}\)
\(=\frac{2^2\times3}{4}\)
\(=\frac{4\times3}{4}\)
\(=3\)
4,\(\frac{45^{10}\times5^{20}}{75^{15}}=\frac{\left(5\times9\right)^{10}\times5^{20}}{\left(3\times25\right)^{10}}\)
\(=\frac{\left(5\times3^2\right)^{10}\times5^{20}}{\left(3\times5^2\right)^{15}}\)
\(=\frac{5^{10}\times3^{20}\times5^{20}}{3^{15}\times5^{30}}\)
\(=\frac{5^{30}\times3^{20}}{3^{15}\times5^{30}}\)
\(=3^5=243\)
Học tốt
\(4^3\times27-4^3\times23\)
\(=4^3\times\left(27-23\right)\)
\(=64\times4\)
\(=256\)
\(3^4\times71+3^4\times2^9\)
\(=3^4\times\left(71+2^9\right)\)
\(=81\times\left(71+512\right)\)
\(=81\times583\)
\(=47223\)
\(\left(3^3\times5^2-2^4-16\right)\times13\)
\(=\left(27\times25-16-16\right)\times13\)
\(=\left(675-16-16\right)\times13\)
\(=\left(659-16\right)\times13\)
\(=643\times13\)
\(=8359\)
\(35\times273+33\times35\)
\(=35\times\left(273+33\right)\)
\(=35\times306\)
\(=10710\)
\(2^3\times4^2+2^3\times84-40\)
\(=8\times16+8\times84-40\)
\(=8\times\left(16+84\right)-40\)
\(=8\times100-40\)
\(=800-40\)
\(=760\)
cảm ơn nhé!!