9514 1404 393
Answer:
11·11^4
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a = a^1
(a^b)/(a^c) = a^(b-c)
a^0 = 1 . . . . for any 'a' not 0
__
The given expression is ...
(11^8)/(11^3) = 11^(8-3) = 11^5
The offered choices are ...
(11^7)/(11^7) = 11^(7-7) = 11^0 = 1
11·11^4 = (11^1)(11^4) = 11^(1+4) = 11^5 . . . . matches the given expression
(11^0)/(11^5) = 11^(0-5) = 11^-5
11^0 = 1
