Answer:
x + y = 5
Step-by-step explanation:
using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex] , then
[tex]4^{x}[/tex] × [tex]4^{y}[/tex] = [tex]4^{x+y}[/tex] , so
[tex]4^{x+y}[/tex] = 1024 = [tex]4^{5}[/tex]
since the bases on both sides are equal, both 4 then equate exponents
x + y = 5
