c)
(\frac{1}{2})^5:(\frac{1}{2})^x*\frac{1}{2}=1
(\frac{1}{2})^6:(\frac{1}{2})^x=(\frac{1}{2})^0
(\frac{1}{2})^x=(\frac{1}{2})^6:(\frac{1}{2})^0
(\frac{1}{2})^x=(\frac{1}{2})^{6-0}
(\frac{1}{2})^x=(\frac{1}{2})^6
x=6
d)
(-125)*(-5)*(-5)^x=5^8
(-5)^3*(-5)*(-5)^x=5^8
(-5)^{3+1}*(-5)^x=5^8
(-5)^4*(-5)^x=5^8
(-5)^x=\frac{(-5)^8}{(-5)^4}
(-5)^x=(-5)^{8-4}
(-5)^x=(-5)^4
x=4