Question

-1/4 raised to power -3 divided by -1/4 raised to power -5
evaluate the question

Answer 1

Answer:

answer is $\frac{1}{16}$(if you square it), and $\frac{-1}{4}$(without squareing it)

Step-by-step explanation:

let us first simplify the

$\frac{-1}{4}^{-3}$ in simplies form:

by just changing the sign of power then it becomes = $-4^{3}$

by just changing the sign of power of second equation then it becomes = $-4^{5}$

now by the followign identity we can solve the quesiton = $\frac{m^{a} }{m^{b} }$ = $m^{a} - m^{b}$

it also implies to this question = $(-4)^{3} / (-4)^{5}$ = $(-4)^{3} - (-4)^{5}$ = $-4^{-2}$ = $\frac{-1}{4} ^{2}$

So, here's the solution = $\frac{-1}{4}^{2}$

thanks :-)