Answer:
Step-by-step explanation:
[tex]a^{-m}=\frac{1}{a^{m}}\\\\Therefore, \frac{1}{a^{-m}}=a^{m}[/tex]
[tex]11^{-5}[/tex] ÷ [tex]11^{-3} = 11^{-5} * 11^{3}\\\\[/tex] {[tex]a^{m}*a^{n} = a^{m+n}[/tex] }
[tex]11^{-5+3} \\\\= 11^{-2}[/tex]
11^ -2 = 1 / 11^2 = 1/121
11^-5 ÷ 11^-3
When the bases are the same, we subtract the exponents when dividing
11 ^ ( -5 - -3)
11 ^ ( -5+3)
11 ^ -2
We know that a^ -b = 1/a^b
1/ 11^2
1/121
