\(\left(7\times\chi-11\right)^3=2^2\times5^2+200\)
tim x
a) 2.\(3^x\) =162
b) \(\left(7\times x-11\right)^3=2^5\times5^2+200\)
c) \(\left(2\times x-15\right)^5=\left(2\times x-15\right)^3\)
a) 2.3x =162
3x =162:2
3x=81
3x=34
vậy x bằng 4
a)\(\left(\dfrac{17}{10}+7-8,7\right)\div\left(\dfrac{23}{4}-\dfrac{11}{4}+\dfrac{9}{25}\right)\times\left(12,98\times0,25\right)+12,5\)
b)\(1\dfrac{2}{24}\times5\dfrac{2}{5}\times2\times3\dfrac{7}{9}\times2\times\dfrac{2}{17}\)
a: \(=\left(\dfrac{17}{10}+\dfrac{70}{10}-\dfrac{87}{10}\right):\left(\dfrac{23}{4}-\dfrac{11}{4}+\dfrac{9}{25}\right)\cdot\left(12,98\cdot0,25\right)+12,5\)
\(=0:\left(3+\dfrac{9}{25}\right)\cdot\left(12,98+0,25\right)+12,5\)
=12,5
b: \(=\dfrac{13}{12}\cdot\dfrac{27}{5}\cdot2\cdot\dfrac{34}{9}\cdot2\cdot\dfrac{2}{17}\)
\(=\dfrac{13}{12}\cdot2\cdot\dfrac{27}{5}\cdot\dfrac{34}{9}\cdot\dfrac{4}{17}\)
\(=\dfrac{13}{6}\cdot\dfrac{27}{5}\cdot\dfrac{8}{9}=\dfrac{8}{6}\cdot3\cdot\dfrac{13}{5}=4\cdot\dfrac{13}{5}=\dfrac{52}{5}\)
\(c)160:\left\{17+[3^2\times5-\left(14+2^{11}:2^8\right)]\right\}\)
\(d)798+100:[16-2\times\left(5^2-22\right)]\)
c
\(=160:\left\{17+\left[9\cdot5-\left(14+2^3\right)\right]\right\}\)
\(=160:\left\{17+\left[45-\left(14+8\right)\right]\right\}\)
\(=160:\left\{17+\left[45-22\right]\right\}\)
\(=160:\left(17+23\right)\)
\(=160:40\)
\(=4\)
d
\(=798+100:\left[16-2\cdot\left(25-22\right)\right]\)
\(=798+100:\left(16-2\cdot3\right)\)
\(=798+100:\left(16-6\right)\)
\(=798+100:10\)
\(=798+10\)
\(=808\)
\(\)1.Thực hiện phép tính:(hepl me)
a)\(\frac{-3}{5}\)+\(\frac{28}{5}\)\(\times\)\(\left(\frac{43}{56}+\frac{5}{24}-\frac{21}{63}\right)\)
b)\(\frac{5}{7}\times\frac{11}{18}+\frac{3}{7}\times\frac{5}{18}+\frac{4}{9}\)
c)\(\frac{-3}{4}\times5\frac{3}{13}-0,75\times\frac{36}{13}\)
d)\(6\frac{5}{12}:2\frac{3}{4}-11\frac{1}{4}\times\left(\frac{1}{3}-\frac{1}{5}\right)\)
e)\(\left(\frac{3}{5}+0,415-\frac{3}{200}\right)\times2\frac{2}{3}\times0,25\)
Bài làm :
a)\(=-\frac{3}{5}+\frac{28}{5}\times\frac{9}{14}=-\frac{3}{5}+\frac{18}{5}=3\)
b)\(=\frac{55}{126}+\frac{5}{42}+\frac{4}{9}=1\)
c)\(=-\frac{51}{13}-\frac{27}{13}=-6\)
d)\(=\frac{7}{3}-11\frac{1}{4}\times\frac{2}{15}=\frac{7}{3}-\frac{3}{2}=\frac{5}{6}\)
e)\(=1\times\frac{8}{3}\times0,25=\frac{2}{3}\)
Tìm x biết:
\(\left(7x-11\right)^3=2^5\times5^2+200\)
\(\left(7x-11\right)^3=2^5.5^2+200\)
\(\left(7x-11\right)^3=1000\)
\(=>7x-11=10\)
\(x=\frac{10+11}{7}=3\)
**** cho mik nhé!
\(\left(7x-11\right)^3=2^5\times5^2+200\)
\(\Rightarrow\left(7x-11\right)^3=1000=10^3\)
\(\Rightarrow7x-11=10\)
\(7x=10+11\)
\(7x=21\)
\(x=21\div7\)
\(x=3\)
( 7x - 11 )3 = 25 . 52 + 200
( 7x - 11 )3 = 32 . 25 + 200
( 7x - 11 )3 = 1000
( 7x - 11 )3 = 103
7x - 11 = 10
7x = 10 + 11
7x = 21
x = 21 : 7
x = 3
Rut gon phan so sau :
a)\(\frac{9^{14\times}25^5\times8^7}{18^{12}\times625^3\times24^3}\)
b)\(\frac{1\times3\times5\times...\times39}{21\times22\times23\times...\times40}\)
c)\(\frac{1\times3\times5\times...\times\left(2n-1\right)}{\left(n+1\right)\times\left(n+2\right)\times\left(n+3\right)\times...\times2n}\)
\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}=\frac{9^{12}.9^2.25^5.8^3.8^5}{9^{12}.2^{12}.25^6.8^3.3^3} =\frac{3^4.8^5 }{8^4.3^3}=3.8=24\)
Tinh \(\left(1-\frac{2}{2\times3}\right)\times\left(1-\frac{2}{3\times4}\right)\times\left(1-\frac{2}{4\times5}\right)\times...\times\left(1-\frac{2}{2015\times2016}\right)\)
các cậu tính nhanh hộ tớ con này \(\frac{\left(2^3\times5\times7\right)\times\left(5^2\times7^3\right)}{\left(2\times5\times7\right)^2}\)
Làm ơn tớ đang cần gấp
\(\frac{\left(2^3\cdot5\cdot7\right)\cdot\left(5^2\cdot7^3\right)}{\left(2\cdot5\cdot7\right)^2}\)
\(=\frac{2^3\cdot5^3\cdot7^4}{2^2\cdot5^2\cdot7^2}\)
\(=2\cdot5\cdot7^2\)
\(=10\cdot49=490\)
\(\frac{\left(2^3.5.7\right).\left(5^2.7^3\right)}{\left(2.5.7\right)^2}\)
\(=\frac{2^3.5^3.7^4}{2^2.5^2.7^2}\)
\(=2.5.7^2\)
\(=\left(2.5\right).7^2\)
\(=10.49\)
\(=490\)
\(\frac{\left(2^3\times5\times7\right)\times\left(5^2\times7^3\right)}{\left(2\times5\times7\right)^2}=\frac{2^3\times5^3\times7^4}{2^2\times5^2\times7^2}=2\times5\times7^2=10\times49=490\)
tính nhanh
\(\dfrac{10}{11}\):\(\left(\dfrac{2}{3\times5}+\dfrac{2}{5\times7}+\dfrac{2}{7\times9}+\dfrac{2}{9\times11}\right)\)
\(\dfrac{10}{11}:\left(\dfrac{2}{3\times5}+\dfrac{2}{5\times7}+\dfrac{2}{7\times9}+\dfrac{2}{9\times11}\right)\)
\(=\dfrac{10}{11}:\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{11}\right)\)
\(=\dfrac{10}{11}:\left(\dfrac{1}{3}-\dfrac{1}{11}\right)\)
\(=\dfrac{10}{11}:\dfrac{8}{33}\)
\(=\dfrac{10}{11}\times\dfrac{33}{8}\)
\(=5\times\dfrac{3}{4}\)
\(=\dfrac{15}{4}\)