Answer:
a = 4
Step-by-step explanation:
note that 625 = [tex]5^{4}[/tex] , then
[tex]5^{a}[/tex] = [tex]5^{4}[/tex]
Since the bases on both sides are equal, both 5 then equate exponents, so
4
Prime factorize 625
625 = 25 * 25 = 5 * 5 * 5 * 5
[tex]5^{a} = 625\\\\5^{a} = 5^{4}[/tex]
As base are same, compare the exponents
