Question

Tìm giá trị của y biết

\(\left(\frac{3}{2}\right)^{10}=\left(\frac{3}{2}\right)^6\times\left(-\frac{3}{2}\right)^y\)

Answer 1

\(\Rightarrow\left(-\frac{3}{2}\right)^y=\left(\frac{3}{2}\right)^{10}:\left(\frac{3}{2}\right)^6\Rightarrow\left(-\frac{3}{2}\right)^y=\left(\frac{3}{2}\right)^4=\left(-\frac{3}{2}\right)^4\)

\(\Rightarrow y=4\)

Answer 2

\(\left(\frac{3}{2}\right)^y=\left(\frac{3}{2}\right)^{10}:\left(\frac{3}{2}\right)^6\Rightarrow\left(\frac{3}{2}\right)^y=\left(\frac{3}{2}\right)^4\)

\(\Rightarrow\)y=4