Answer:
n = - 4
Step-by-step explanation:
note that 625 = [tex]5^{4}[/tex] , then
[tex]5^{n}[/tex] = [tex]\frac{1}{5^{4} }[/tex] = [tex]5^{-4}[/tex]
Since the bases on both sides are equal, both 5 then equate the exponents
n=-4
Note: It is not given what to find so that i am finding the value of n
Given :
[tex]5^{n} =\frac{1}{625} \\5^n=\frac{1}{5^4} \\5^n=5^{-4} \\So,\\n=-4[/tex]
Therefore,
