=(16/10)²⁰¹⁵.(16/9)(4/3)

=(8/5)²⁰¹⁵.(4/3)³

(bn xem lại đề, có thể là 9/16 chứ k phải là 9/10)?

đúng đó là 9/16

\(\left(\frac{9}{16}\right)^{2016}.\left(\frac{16}{9}\right)^{2015}.\frac{4}{3}=\left(\frac{9}{16}\right)^{2016}:\left(\frac{9}{16}\right)^{2015}.\frac{4}{3}\)

                                                     \(=\frac{9}{16}.\frac{4}{3}\)

                                                         \(=\frac{3}{4}\)

\(\left(\frac{9}{16}\right)^{2016}\cdot\left(\frac{16}{9}\right)^{2015}\cdot\frac{4}{3}=\left(\frac{9}{16}\right)^{2016}\cdot\left(\frac{9}{16}\right)^{2015}\cdot\frac{4}{3}\)

                                                 \(=\frac{9}{16}\cdot\frac{4}{3}\)

                                                 \(=\frac{3}{4}\)

\(=\frac{9}{16}.\frac{4}{3}\)

\(=\frac{3}{4}\)

a) \(-5,13:\left(5\frac{5}{28}-1\frac{8}{9}.1,25+1\frac{16}{63}\right)\)

\(=-5,13:\left(\frac{145}{28}-\frac{17}{9}.1,25+\frac{79}{63}\right)\)

\(=-5,13:\left(\frac{145}{28}-\frac{85}{36}+\frac{79}{63}\right)\)

\(=-5,13:\frac{57}{14}\)

\(=-\frac{63}{50}\)

b) \(\left(3\frac{1}{3}.1,9+19,5:4\frac{1}{3}.\left(\frac{62}{75}-\frac{4}{25}\right)\right)\)

\(=\left(\frac{10}{3}.1,9+19,5:\frac{13}{3}\right).\left(\frac{62}{75}-\frac{4}{25}\right)\)

\(=\left(\frac{19}{3}+\frac{9}{2}\right).\frac{2}{3}\)

\(=\frac{65}{6}.\frac{2}{3}\)

\(=\frac{65}{9}\)

 ^...^  ^_^

a) -5,13:(5/5/28-85/36+1/16/63)

     -5,13:(355/126+79/63)

      -5,13:57/14

       =-126

B(19/3+9/2).2/3

65/6.2/3

= 65/9

ngu như cho máy tính đâu

=\(\frac{3}{4}\)

= 3/8

(calculator  đúng)

\(\frac{3}{4}\)

\(\left(\frac{9}{16}\right)^{2016}.\left(\frac{16}{9}\right)^{2015}.\frac{4}{3}\)

=\(\left(\frac{3}{4}\right)^{4032}.\left(\frac{4}{3}\right)^{4030}.\frac{4}{3}\)

=

= 1/2 . 2/3 .... 2014/2015 . 2015/2016

= 1/2016

1/2016

A = ( 1 - 1/2 ) ( 1 - 1/3 ) ... ( 1 - 1/2015 ) ( 1 - 1/2016 )

A = 1/2 . 2/3 ... 2014/2015 . 2015/2016

A = 1 . 2 . 3 ... 2014 . 2015/2 . 3 ... 2014 . 2015 . 2016

A = 1/2016

Nếu đúng thì k cho mình nha