Question

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

Answer 1

B

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!