Question

Can u help me with this

Answer 1

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

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.