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Which expression is equivalent to √225/625M^4N^6?

Which expression is equivalent to √225/625M^4N^6?-example-1

2 Answers

3 votes

Answer:


(3)/(5) m^(2)| n^(3)|

Explanation:

Let's consider the following expression.


\sqrt{(225)/(625)m^(4)n^(6)}

We can apply the distributive property.


\frac{√(225)\sqrt{m^(4)\sqrt{n^(6)}}}{√(625) } =(15m^(2)n^(3))/(25) =(3)/(5) m^(2)n^(3)

The absolute value of n³ is equal to n³, when n > 0.

User Whitecat
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4 votes
this is equivalent to 3/5m^2n^3
User Rami
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8.2k points