Question

What is the simplified form of (2x^1/2y^2/3)(4x^1/4y^5/6).

Answer 1

Answer:

The simplified form is: $\frac{1}{2}x^{\frac{1}{4}}y^{-\frac{1}{6}}$ or $\frac{x^{\frac{1}{4}}}{2y^{\frac{1}{6}}}$

Step-by-step explanation:

So we need to find the simplified form of:

$\frac{2x^{\frac{1}{2}}y^{\frac{2}{3}}}{4x^{\frac{1}{4}}y^{\frac{5}{6}}}$

We know that:

(a^m)/(a^n) = a^(m-n)

Then:

$\frac{2}{4}x^{\frac{1}{2} - \frac{1}{4} }y^{\frac{2}{3}-\frac{5}{6}}$

Simplifien the expression:

$\frac{1}{2}x^{\frac{1}{4}}y^{-\frac{1}{6}}$

So, the simplified form is:

$\frac{1}{2}x^{\frac{1}{4}}y^{-\frac{1}{6}}$ or $\frac{x^{\frac{1}{4}}}{2y^{\frac{1}{6}}}$