Tính
(9/16)^2016*(16/9)^2015.4/3
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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
=\(\frac{9^{2016}}{16^{2016}}.\frac{16^{2015}}{9^{2015}}.\frac{4}{3}\)
=\(\frac{9}{16}.\frac{4}{3}\)
=\(\frac{3}{4}\)
k cho mk nhoa
\(\left(\frac{9}{16}\right)^{2016}.\left(\frac{16}{9}\right)^{2015}.\frac{4}{3}\)
\(=\left[\frac{9}{16}\left(\frac{9}{16}\right)^{2015}\right].\left(\frac{16}{9}\right)^{2015}.\frac{4}{3}\)
\(=\frac{9}{16}\left[\left(\frac{9}{16}\right)^{2015}.\left(\frac{16}{9}\right)^{2015}\right].\frac{4}{3}\)
\(=\frac{9}{16}\left[\left(\frac{9}{16}.\frac{16}{9}\right)^{2015}\right].\frac{4}{3}\)
\(=\frac{9}{16}.1^{2015}.\frac{4}{3}\)
\(=\frac{9}{16}.\frac{4}{3}\)
\(=\frac{3}{4}\)
\(\left(-1^2\right)^2-\frac{9}{16:9^4}+25\%\)
\(=1-\frac{9}{16:9^4}+25\%\)
\(=1-\left(-14658,25\right)\)
\(=1+14658,25\)
\(=14659,25\)
mk tính ra số thập phân nha tại ko đổi ra phân số được mong thông cảm
( \(\frac{-1^2}{2}\) ) - \(\frac{-9}{16}\) : \(\frac{9}{4}\) + 25%
= \(\frac{1}{4}\) - \(\frac{-9}{16}\) . \(\frac{4}{9}\) + \(\frac{1}{4}\)
= \(\frac{1}{4}\) - ( \(\frac{-9}{16}\) . \(\frac{4}{9}\) ) + \(\frac{1}{4}\)
= \(\frac{1}{4}\) - \(\frac{-1}{4}\) + \(\frac{1}{4}\)
= \(\frac{3}{4}\)
a) B = 5/16 : 0,125 - ( 9/4 - 0,6 ) * 10/11
B = 5/16 * 8 - 9/4 * 10/11 + 0,6 * 10/11
B = 5/2 - 45/22 + 3/11
B = 55/22 - 45/22 + 6/22
B = 8/11
b) \(\left(\frac{1}{2}+1\right)\left(\frac{1}{3}+1\right).....\left(\frac{1}{99}+1\right)\)
\(=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}.....\frac{100}{99}\)
\(=\frac{3.4.5.....100}{2.3.4.....99}\)
\(=\frac{\left(3.4.....99\right).100}{2\left(3.4.....99\right)}\)
\(=\frac{100}{2}\)
\(=50\)
a)B= 5/6 : 1/8 - (9/4 - 3/5 ) * 10/11
= 5/2 - 33/20 * 10/11
= 5/2 - 3/2
= 1
b) 3/2.4/3.5/4....100/99
= 3.4.5...100/2.3.4...99
=100/2
=50
\(\left(\frac{9}{16}\right)^{2016}.\left(\frac{16}{9}\right)^{2015}.\frac{4}{3}\)
\(=\left(\frac{9}{16}\right)^{2015}.\left(\frac{16}{9}\right)^{2015}.\frac{9}{16}.\frac{4}{3}\)
\(=\left(\frac{9}{16}.\frac{16}{9}\right)^{2015}.\frac{3}{4}\)
\(=\frac{1.3}{4}=\frac{3}{4}\)