Question

ính giá trị các biểu thức sau bằng cách hợp lí:B=(1/2)^2015.(2/3)^2016.(-3)^2015

Answer 1

\(B=\left(\frac{1}{2}\right)^{2015}.\left(\frac{2}{3}\right)^{2016}.\left(-3\right)^{2015}\)

\(B=\left(-3\right)^{2015}.\left(\frac{2}{3}\right)^{2016}.\frac{1}{2^{2015}}\)

\(B=\left(-3\right)^{2015}.\frac{1}{2^{2015}}.\frac{2^{2016}}{3^{2016}}\)

\(B=\left(-3^{2015}\right).\frac{1}{2^{2015}}.\frac{2^{2016}}{3^{2016}}\)

\(B=-\frac{1}{2^{2015}}.\frac{2^{2016}}{3^{2016}}.3^{2015}\)

\(B=-\frac{1.2^{2016}.3^{2015}}{2^{2015}.3^{2016}}\)

\(B=-\frac{2^{2016}.3^{2015}}{3^{2016}.2^{2015}}\)

\(B=\frac{3^{2015}.2}{3^{2016}}\)

\(B=-\frac{2}{3}\)