Question

HELP!!!!!!!! Select an expression that id equivalent to 4squareroot of 2x^2 • 4squareroot of 2x^3

Answer 1

Answer:

B

Step-by-step explanation:

$\sqrt[4]{2x^2} *\sqrt[4]{2x^3} =(2x^2)^{1/4}*(2x^3)^{1/4}\\= 2^{1/4}*(x^2)^{1/4} *2^{1/4} * (x^3)^{1/4}$

combine like terms

$= 2^{2/4} *x^{2/4}*x^{3/4}\\= 2^{2/4} * x^{5/4}$

these steps use exponent laws

a few key ones i used:

(x^y^z) = x^(y*z)

x^y * x^z = x^(y+z)

let me know if you have any questions!