Answer:
a) e¹⁰
b) 1/e²
c) e^(11/2)
d) 1/e⁸
Step-by-step explanation:
a) The power of a power is the multiplication of the eponents, thus
(e⁵)² = e^(5*2) = e¹⁰
b) When you divide powers, you can take the power of the substraction, hence
e³/e⁵ = e^(3-5) = e⁻² = 1/e²
c) When you multiply powers, you have to sum the exponents, as a result
e⁴*e^(3/2) = e^(4+3/2) = e^(11/2)
d) We use the same property for item a
(e²)⁻⁴ = e^(2*-4) = e⁻⁸ = 1/e⁸
