4/3x (16/9)2015x (9/16)2016
Những câu hỏi liên quan
tìm x biết \(sqrt{9+5x^2}+sqrt{x^4+16}\)=7-2015x2
Tính M(x)=x^10--2015x^9-2015x^8-...-2015x-1 tại x=2016
Tính M(x)=x^10--2015x^9-2015x^8-...-2015x-1 tại x=2016
(9/16)\(^{2016}\).(16/9)\(^{2015}\).4/3
\(\left(\dfrac{9}{16}\right)^{2016}.\left(\dfrac{16}{9}\right)^{2015}.\dfrac{4}{3}\)
\(=\left[\left(\dfrac{3}{4}\right)^2\right]^{2016}.\left[\left(\dfrac{4}{3}\right)^2\right]^{2015}.\dfrac{4}{3}\)
\(=\left(\dfrac{3}{4}\right)^{2018}.\left(\dfrac{4}{3}\right)^{2017}.\dfrac{4}{3}\)
\(=\left(\dfrac{3}{4}\right)^{2018}.\left(\dfrac{4}{3}\right)^{2018}\)
\(=\left(\dfrac{3}{4}.\dfrac{4}{3}\right)^{2018}\)
\(=\left(\dfrac{1}{1}.\dfrac{1}{1}\right)^{2018}\)
\(=1^{2018}\)
\(=1\)
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\(\left(\frac{9}{16}\right)^{2016}\cdot\left(\frac{16}{9}\right)^{2015}\cdot\frac{4}{3}\)
\(\left(\frac{9}{16}\right)^{2016}.\left(\frac{16}{9}\right)^{2015}.\frac{4}{3}\)
=\(\left(\frac{3}{4}\right)^{4032}.\left(\frac{4}{3}\right)^{4030}.\frac{4}{3}\)
=
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4.Tính:
E = 9/2 + 9/6 + 9/12 + 9/16 + ... + 9/2016 x 2015
Tính:
\(\left(\frac{9}{16}\right)^{2016}.\left(\frac{16}{9}\right)^{2015}.\frac{4}{3}\)
\(\left(\frac{9}{16}\right)^{2016}.\left(\frac{16}{9}\right)^{2015}.\frac{4}{3}=\left(\frac{9}{16}\right)^{2016}:\left(\frac{9}{16}\right)^{2015}.\frac{4}{3}\)
\(=\frac{9}{16}.\frac{4}{3}\)
\(=\frac{3}{4}\)
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\(\left(\frac{9}{16}\right)^{2016}\cdot\left(\frac{16}{9}\right)^{2015}\cdot\frac{4}{3}=\left(\frac{9}{16}\right)^{2016}\cdot\left(\frac{9}{16}\right)^{2015}\cdot\frac{4}{3}\)
\(=\frac{9}{16}\cdot\frac{4}{3}\)
\(=\frac{3}{4}\)
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\(=\frac{9}{16}.\frac{4}{3}\)
\(=\frac{3}{4}\)
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Xem thêm câu trả lời
Tinh:
\(\left(\dfrac{9}{16}\right)^{2016}.\left(\dfrac{16}{9}\right)^{2015}.\dfrac{4}{3}\)
\(\left(\dfrac{9}{16}\right)^{2016}.\left(\dfrac{16}{9}\right)^{2015}.\dfrac{4}{3}\)
=\(\dfrac{9^{2016}}{16^{2016}}.\dfrac{16^{2015}}{9^{2015}}.\dfrac{4}{3}\)
= \(\dfrac{9}{16}.\dfrac{4}{3}=\dfrac{3^2.4}{4^2.3}=\dfrac{3}{4}\)
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Cho đa thức M(x)= x10 - 2015x9 - 2015x8- ... -2015x -1. Tính M(2016).