a) \(T=\frac{9^{14}\times25^6\times8^7}{18^{12}\times625^3\times24^3}\)

       \(=\frac{\left(3^2\right)^{14}\times25^6\times\left(2^3\right)^7}{\left(2\times3^2\right)^{12}\times\left(25^2\right)^3\times\left(3\times2^3\right)^3}\)

       \(=\frac{3^{28}\times25^6\times2^{21}}{2^{12}\times3^{24}\times25^6\times3^3\times2^9}\)

       \(=\frac{3^{28}\times25^6\times2^{21}}{\left(2^{12}\times2^9\right)\times\left(3^{24}\times3^3\right)\times25^6}\)

       \(=\frac{3^{28}\times25^6\times2^{21}}{2^{21}\times3^{27}\times25^6}=3\)

b)  \(A=\frac{5\times4^{15}\times9^9-4\times3^{20}\times8^9}{5\times2^9\times6^{19}-7\times2^{29}\times27^6}\)

        \(=\frac{5\times\left(2^2\right)^{15}\times\left(3^2\right)^9-2^2\times3^{20}\times\left(2^3\right)^9}{5\times2^9\times\left(2\times3\right)^{19}-7\times2^{29}\times\left(3^3\right)^6}\)

        \(=\frac{5\times2^{30}\times3^{18}-2^2\times3^{20}\times2^{27}}{5\times2^9\times2^{19}\times3^{19}-7\times2^{29}\times3^{18}}\)

        \(=\frac{5\times2^{30}\times3^{18}-2^{29}\times3^{20}}{5\times2^{28}\times3^{19}-7\times2^{29}\times3^{18}}\)

        \(=\frac{2^{29}\times3^{18}\times\left(5\times2-3^2\right)}{2^{28}\times3^{18}\times\left(5\times3-7\times2\right)}\)

        \(=\frac{2\times\left(10-9\right)}{15-14}=\frac{2\times1}{1}=2\)

bn nguyễn văn kiệt lm đug r

\(\left(-75\right)\left(18-65\right)-65\left(75-18\right)\)

\(=\left(-75\right).18-\left(-75\right).65-65.75+65.18\)

\(=\left(-75\right).18+75.65-65.75+65.18\)

\(=18.\left[\left(-75\right)+65\right]+\left(75.65-65.75\right)\)

\(=18.\left(-10\right)=-180\)

P/s: Hoq chắc

\(-\left(-2010\right)+36.41-36.\left(-59\right)+\left(-2010\right)\)

\(=2010+\left(-2010\right)+36.\left[41-\left(-59\right)\right]\)

\(=36.100=3600\)

Tính nhanh thì phải làm tắt chứ :V

\(52\cdot18+9\cdot36+18\cdot36\)

\(=18\cdot\left(52+9\cdot2+36\right)\)

\(=18\cdot106=1908\)

zvzxdcbgfd

1+2+3+4+5+6+7+8+9/10

\(\frac{41}{10}\)

a) =-(-2010)+(-2010)+36*54-36*(-59)=2010+(-2010)+ 36*(54-59)=0+36*5=.....
b

Kết bạn ko

\(=82^2-2.18.82+18^2=\left(82-18\right)^2=64^2=...\)

Để xem, \(64^2=2^{12}=4096\)

\(36\cdot15+70\cdot18=36\cdot15+36\cdot35=36\cdot\left(15+35\right)=36\cdot50=1800\)

36 . 15 + 70 . 18

= 36 . 15 + 35 . 36

= 36 . 15 + 36 . 35

= 36 . (15 + 35)

= 36 . 50

= 1800

.

18 : 0,25 + 36 x 3
= 18 x 4 + 18 x 2 x 3
= 18 x 4 + 18 x 6
= 18 x ( 4 + 6 )
= 18 x 10
= 180

(36:18)x(0,25+3)

=2x3,25

=6,5