A) The answer can be written in the form C x ^a where the coefficient C is:

Question

Simplify the following expression. Assume x>0. 

(36x)^1/2⋅(−2x^−4/5)

where 

the coefficient C is:    

and the exponent aa is:

Answer 1

square root of 36x = 6x^1/2 times -2x^-4/5 = -12x^(5/10-8/10)= -12x^-3/10

C=-12, a = -3/10 = -0.3

Answer 2

(36x)^1/2(- 2x^-4/5) = - 12x^{1/2 - 4/5}= - 12x^{- 3/10}, so, C = - 12.