Answer:
Step-by-step explanation:
In providing solution for the given questions, we would apply the laws of indices. Recall
a² × a³ = a^(2 + 3) = a^5
a² ÷ a³ = a^(2 - 3) = a^-1
If f(x) = 5x^-2/5 and g(x) = 2x^3/5, then
a) f(x) × g(x) = 5x^-2/5 × 2x^3/5 = 10x^(- 2/5 + 3/5)
f(x) × g(x) = 10x^1/5
C is the correct option
b) f(x) ÷ g(x) = 5x^-2/5 ÷ 2x^3/5 = 5/2x^(- 2/5 - 3/5)
f(x) ÷ g(x) = 5/2x^(-5/5)
f(x) ÷ g(x) = 5/2x^-1
Option D is the correct answer
