Answer:
(A) [tex]e^2[/tex]
(b) [tex]e^{-3}[/tex]
(c) [tex]e^2[/tex]
(d) [tex]e^3[/tex]
Step-by-step explanation:
We have given expression and we have to simplify the expression using exponent property
(A) [tex](\frac{1}{e})^{-2}[/tex]
So [tex](\frac{1}{e})^{-2}=\frac{1}{e^{-2}}=e^2[/tex]
(b) [tex](\frac{e^5}{e^2})^{-1}[/tex]
So [tex](\frac{e^5}{e^2})^{-1}=(e^{3})^{-1}=e^{-3}[/tex]
(c) [tex]\frac{e^5}{e^3}[/tex]
So [tex]\frac{e^5}{e^3}=e^2[/tex]
(d) [tex]\frac{1}{e^{-3}}=e^3[/tex]
