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

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

=

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

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

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

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

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

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

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

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

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

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

= \(\dfrac{9}{16}.\dfrac{4}{3}=\dfrac{3^2.4}{4^2.3}=\dfrac{3}{4}\)

7+7=14

nha

sorry nhấn lộn nha

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

= 3/8

(calculator  đúng)

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

3653/224

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

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

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

k cho mk nhoa

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

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

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

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

\(=\frac{9}{16}.1^{2015}.\frac{4}{3}\)

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

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

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

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

\(=\frac{9}{6}.\frac{4}{3}\)

\(=\frac{36}{48}\)

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

=(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

a/

\(\dfrac{4}{15}=1-\dfrac{11}{15}\)

\(\dfrac{5}{16}=1-\dfrac{11}{16}\)

\(\dfrac{11}{15}>\dfrac{11}{16}\Rightarrow1-\dfrac{11}{15}< 1-\dfrac{11}{16}\Rightarrow\dfrac{4}{15}< \dfrac{5}{16}\)

b/

\(\dfrac{2}{113}=\dfrac{4}{226}< \dfrac{4}{115}\)

c/ \(\dfrac{2}{7}=\dfrac{4}{14}< \dfrac{4}{9}\)

d/ \(\dfrac{2}{5}=\dfrac{4}{10}< \dfrac{4}{7}\)

a,\(\dfrac{4}{15}< \dfrac{5}{16}\)

b,\(\dfrac{2}{113}< \dfrac{4}{115}\)

c,\(\dfrac{2}{7}< \dfrac{4}{9}\)

d,\(\dfrac{4}{7}>\dfrac{2}{5}\)