a: \(\left(\dfrac{3}{4}\right)^4\cdot\left(\dfrac{3}{4}\right)=\left(\dfrac{3}{4}\right)^{4+1}=\left(\dfrac{3}{4}\right)^5\)
b: \(\left(-6,7\right)^8:\left(-6,7\right)^7=\left(-6,7\right)^{8-7}=\left(-6,7\right)^1\)
c: \(\left[\left(-\dfrac{5}{9}\right)^2\right]^5=\left(-\dfrac{5}{9}\right)^{2\cdot5}=\left(-\dfrac{5}{9}\right)^{10}\)