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Rudiy27
3 years ago
12

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

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

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}}}

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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