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(9/16)^2016.(16/9)^2015.4/3

9/16.(9/16)^2015.(16/9)^2015.4/3

9/16.(9/16.16/9)^2015.4/3

9/16.1^2015.4/3

9/16.1.4/3

=>9/16.4/3=3/4

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

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

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

\(=\frac{1.3}{4}=\frac{3}{4}\)

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

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

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

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

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

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

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

= 3/8

(calculator  đúng)

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

\(=\left[\left(\dfrac{3}{4}\right)^2\right]^{2016}.\left[\left(\dfrac{4}{3}\right)^2\right]^{2015}.\dfrac{4}{3}\)

\(=\left(\dfrac{3}{4}\right)^{2018}.\left(\dfrac{4}{3}\right)^{2017}.\dfrac{4}{3}\)

\(=\left(\dfrac{3}{4}\right)^{2018}.\left(\dfrac{4}{3}\right)^{2018}\)

\(=\left(\dfrac{3}{4}.\dfrac{4}{3}\right)^{2018}\)

\(=\left(\dfrac{1}{1}.\dfrac{1}{1}\right)^{2018}\)

\(=1^{2018}\)

\(=1\)

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

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

=