Answer:
A:
[tex]5^3*5^{-4}=5^{3-4}=5^{-1}=\frac{1}{5}[/tex] (It is a value between 0 and 1.)
B:
[tex]\frac{3^5}{3^{-6}}=3^{5-\left(-6\right)}=3^{5+6}=3^{11}=177147[/tex] (It is not a value between 0 and 1.)
C:
[tex]\left(\frac{1}{4}\right)^3\cdot \left(\frac{1}{4}\right)^2=\left(\frac{1}{4}\right)^{3+2}=\left(\frac{1}{4}\right)^5=\frac{1^5}{4^5}=\frac{1}{1024}[/tex] (It is a value between 0 and 1.)
D:
[tex]\frac{\left(-7\right)^5}{\left(-7\right)^7}=\left(-7\right)^{5-7}=\left(-7\right)^{-2}=\frac{1}{\left(-7\right)^2}=\frac{1}{49}[/tex] (It is a value between 0 and 1.)
