a: \(\left(-\dfrac{5}{9}\right)^3\cdot\left(-\dfrac{5}{9}\right)^7=\left(-\dfrac{5}{9}\right)^{3+7}=\left(-\dfrac{5}{9}\right)^{10}\)
b: \(\left(\dfrac{13}{15}\right)^7:\left(\dfrac{13}{15}\right)^6=\left(\dfrac{13}{15}\right)^{7-6}=\left(\dfrac{13}{15}\right)^1\)
c: \(\left(\dfrac{5}{13}\right)^4\cdot\dfrac{5}{26}\cdot\dfrac{10}{13}=\left(\dfrac{5}{13}\right)^4\cdot\dfrac{5}{13}\cdot\dfrac{5}{13}=\left(\dfrac{5}{13}\right)^6\)
d: \(\left(-\dfrac{3}{4}\right)^6\cdot\left(0,75\right)^3=\left(\dfrac{3}{4}\right)^6\cdot\left(\dfrac{3}{4}\right)^3=\left(\dfrac{3}{4}\right)^9\)
e: \(\left(-0,36\right)^7:\left(-\dfrac{18}{50}\right)^5=\left(-0,36\right)^7:\left(-0,36\right)^5=\left(-0,36\right)^2\)
f: \(4^{25}:\left(1024^2\right)=\left(2^2\right)^{25}:\left(2^{10}\right)^2=2^{50}:2^{20}=2^{30}\)
g: \(32^9:8^{10}=\left(2^5\right)^9:\left(2^3\right)^{10}=2^{45}:2^{30}=2^{15}\)
