\(\left(-\dfrac{3}{4}\right)^{1000}\cdot\left(-\dfrac{4}{3}\right)^{1000}\)
\(=\left[\left(-\dfrac{3}{4}\right)\cdot\left(-\dfrac{4}{3}\right)\right]^{1000}\)
\(=1^{1000}\)
\(=1\)
\(\left(-\dfrac{3}{4}\right)^{1000}.\left(-\dfrac{4}{3}\right)^{1000}\\ =\left[\left(-\dfrac{3}{4}\right).\left(-\dfrac{4}{3}\right)\right]^{1000}\\ =1^{1000}\\ =1\)
Quy ước:\(a^1=a\)