32.4k views
3 votes
Can u help me with this

Can u help me with this-example-1
User Aldrian
by
5.3k points

1 Answer

3 votes

(x ^ (3/4))(y ^ (1/4)) = 4th root ((x^3) y)

Step-by-step explanation:

  • The numerator of the exponential is kept where it is whereas when converting an exponential into a radical, the denominator becomes the root of the variable.
  • (x ^ (3/4)) will be equal to the
    4^(th) root of the value x ^ 3 i.e.
    \sqrt[4]{x^3}.
  • (y ^ (1/4)) will also be equal to the
    4^(th) root of y's value i.e.
    \sqrt[4]{y}.
  • Out of the given options, options 1, 3 and 4 have cube roots so they cannot be the answers. Option 2 has the value of x correct but the value of y will equal y ^ (1/2) so it is also incorrect.
  • So the
    5^(th) option is the right answer.
User Maxim Wandrowski
by
5.0k points