Simplify the expression x2 squareroot 4x33x14 xx2 until it i

Simplify the expression x^2 squareroot 4x^3/3x^1/4 xx^-2 until it is in the form Ax^k for some real numbers A and k.

x^2 ( sqrt 4x^3) / 3x^1/4 xx^-2

numerator can be simplified to

(x^2 * 2 x^3/2 )

2 x^7/2

denominator can be simplified to

3 x^(1/4 + 1 - 2)

= 3 x^(-3/4)

now simplifying further

2/3 x^(7/2 + 3/4)

2/3 x^17/4

therefore , A = 2/3 , k = 17/4