a)
12^4:4^4=(12:4)^4=3^4
b)
\frac{(-3)^7}{3^7}=(\frac{-3}{3})^7=(-1)^7=-1^7
c)
(\frac{3}{4})^5:(\frac{1}{4})^5(\frac{3}{4}:\frac{1}{4})^5=(\frac{3}{4}\cdot \frac{4}{1})^5=3^5
d)
(-0,3)^5:0,01^5=(-\frac{3}{10}:\frac{1}{100})^5=(-\frac{3}{\not10^1}\cdot \frac{\not100^{10}}{1})^5=(-3\cdot 10)^5=-30^5
e)
\frac{(-4)^7}{(-0,4)^7}=(\frac{-4}{-0,4})^7=(\frac{40}{4})^7=10^7
f)
{(4\frac{1}{4})^3:(\frac{1}{4})^3:(-6\frac{1}{2})^3=[\frac{17}{4}:\frac{1}{4}:(-\frac{13}{2})]^3=[\frac{17}{4}\cdot \frac{4}{1}\cdot(-\frac{2}{13})]^3=(-\frac{17\cdot2}{13})^3=-(\frac{34}{13})^3}