21:7/10
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\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^6\)
\(=\left(\frac{3}{7}\right)^{21}:\left[\left(\frac{3}{7}\right)^2\right]^6\)
\(=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{12}\)
\(=\left(\frac{3}{7}\right)^9\)
\(\frac{3}{5}-\frac{1}{7}+\frac{2}{5}-\frac{6}{7}-\frac{1}{4}\)
\(=\left(\frac{3}{5}+\frac{2}{5}\right)-\left(\frac{1}{7}+\frac{6}{7}\right)-\frac{1}{4}\)
\(=\frac{5}{5}-\frac{7}{7}-\frac{1}{4}\)
\(=1-1-\frac{1}{4}\)
\(=0-\frac{1}{4}\)
\(=-\frac{1}{4}\)
\(\frac{3}{5}-\frac{1}{7}+\frac{2}{5}-\frac{6}{7}-\frac{1}{4}\)
\(=\left(\frac{3}{5}+\frac{2}{5}\right)-\left(\frac{1}{7}+\frac{6}{7}\right)-\frac{1}{4}\)
\(=1-1-\frac{1}{4}\)
\(=-\frac{1}{4}\)
`a, (sqrt 28 - sqrt 12 - sqrt 7) sqrt 7 + 2 sqrt 21`.
`= sqrt(28.7) - sqrt(12.7) - sqrt(7.7) + 2 sqrt 21`.
`= sqrt(4. 7.7) - sqrt (12.7) - 7 + 2 sqrt 21`.
`= 14 - sqrt(4.3.7) - 7 + 2 sqrt 21`.
`= 7`.
`b, (sqrt99-sqrt18-sqrt11)sqrt11+3sqrt22`
`= sqrt(99.11)- sqrt(18.11)-sqrt(11.11) +3sqrt22`
`= sqrt(9.11.11)-sqrt(2.9.11)-11+3sqrt22`
`= 33 - 11 = 22`.
476 - { 5x [ 409 - ( 8 x 3 - 212 ) ] - 1724
= 476 - { 5x [ 409 - ( 8 x 3 - 441 ) ] - 1724
= 476 - { 5x [ 409 - ( 24 - 441 ) ] - 1724
= 476 - { 5x [ 409 - ( - 417 ) ] - 1724
= 476 - { 5x [ 409 + 417 ) ] - 1724 }
= 476 - { 5x 826 - 1724 }
= 476 - { 4130 - 1724 }
= 476 - 2406
= - 1930
a 25 phần 41
b 9
c 1 phần 12
d 12
e 14 phần 15
f 24 phần 7
a) \(\frac{1.3+3.5+5.7+7.9}{3.6+9.10+15.14+21.18}\)
= \(\frac{1.3+3.5+5.7+7.9}{1.3.2.3+3.5.2.3+5.7.2.3+7.9.2.3}\)
= \(\frac{1.3+3.5+5.7+7.9}{1.3.6+3.5.6+5.7.6+7.9.6}\)
= \(\frac{1.3+3.5+5.7+7.9}{6.\left(1.3+3.5+5.7+7.9\right)}=\frac{1}{6}\)
Dấu "." là dấu nhân cấp 2
b) \(\frac{1.2+2.3+3.4+4.5}{3.6+6.9+9.12+12.15}\)
= \(\frac{1.2+2.3+3.4+4.5}{1.2.3.3+2.3.3.3+3.4.3.3+4.5.3.3}\)
= \(\frac{1.2+2.3+3.4+4.5}{1.2.9+2.3.9+3.4.9+4.5.9}\)
= \(\frac{1.2+2.3+3.4+4.5}{9.\left(1.2+2.3+3.4+4.5\right)}=\frac{1}{9}\)
Dấu "." là dấu nhân cấp 2
c) \(\frac{0,3+\frac{3}{7}+\frac{3}{11}}{0,4+\frac{4}{7}+\frac{4}{11}}\)= \(\frac{\frac{3}{10}+\frac{3}{7}+\frac{3}{11}}{\frac{4}{10}+\frac{4}{7}+\frac{4}{11}}\)= \(\frac{3.\left(\frac{1}{10}+\frac{1}{7}+\frac{1}{11}\right)}{4.\left(\frac{1}{10}+\frac{1}{7}+\frac{1}{11}\right)}=\frac{3}{4}\)
\(21:\dfrac{7}{10}\)
\(=21\times \dfrac{10}{7}\)
\(=\dfrac{7\times3\times10}{7}\)
\(=3\times10=30\)
`21 : 7/10 = 27 xx 10/7 = 30`