Question

Which expression is equivalent to 4^-5/4^-2

Answer 1

we have the expression

$\frac{4^{(-5)}}{4^{(-2)}}$

so

$\frac{4^{(-5)}}{4^{(-2)}}=\frac{4^{(2)}}{4^{(5)}}=4^{(2-5)}=4^{-3}=\frac{1}{4^3}=\frac{1}{64}$