Question

Tính (9/16)^2016.(16/9)^2015.4/3=

Answer 1

ta có :(9/16)^2016.(16/9)^2015.4/3=9^2016/16^2016.16^2015/9^2015.4/3

=9^2016.16^2015.4/16^2016.9^2015.3=1/2

bạn viết ra giấy cho dễ nhìn nhá

Answer 2

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

= \(\frac{9}{16}\) . \(\frac{4}{3}\) = \(\frac{36}{48}\) = \(\frac{3}{4}\)