Simplify x3yz2 / 3(x6y4z6)?

Question

Note: All numbers are exponents,

Add square root sign between 3 and (x6y4z6)

Can you help me!?! Please show your work. The correct answer is supposively X / Y 1/3

Need the answer right away!

Answer 1

x^3yz^2 /(x^6y^4z^6)^(1/3)

First, look at the denominator:

(x^6y^4z^6)^(1/3)

= x^((6)(1/3))y^((4)(1/3))z^((6)(1/3))

= x^(6/3)y^(4/3)z^(6/3)

= x^2y^(4/3)z^2

Now, we've got:

x^3yz^2/(x^2y^(4/3)z^2)

There is an x^2 in both the numerator and denominator, so they cancel each other, leaving an x in the numerator.

xyz^2/(y^(4/3)z^2)

There is a y in both the numerator and denominator, so they cancel, leaving a y^(1/3) in the denominator.

xz^2/y^(1/3)z^2

There is a z^2 in both the numerator and denominator, so they cancel and leave a 1.

x/y^(1/3)

Answer 2

x ³ y z ²

-----------------------

3 x³ y ² z ³

1

-----------

3 y z