Answer: B. [tex]11\times11^4[/tex]
Step-by-step explanation:
The laws of exponents say that [tex]\frac{11^8}{11^3} = 11^{8-3}.\\[/tex] In the end, the answer choice should result in [tex]11^5[/tex].
A is incorrect because [tex]\frac{11^7}{11^7} = 11^{7-7}=11^0=1[/tex], and [tex]1\neq 11^5[/tex].
B is correct because the laws of exponents say that [tex]11\times11^4=11^{1+4}=11^5[/tex]. [tex]11[/tex] has an understood power of [tex]1[/tex].
C is incorrect because [tex]\frac{11^0}{11^5} = 11^{0-5}=11^{-5}[/tex], and [tex]11^{-5}\neq 11^5[/tex].
D is incorrect because any base raised to the 0th power will always be 1.
