Question

(mn)² ÷ [ m² X (n²)³ ] : Simplify.

Answer 1

Answer:

1 /n^4

Step-by-step explanation:

Given (mn)^2 / [m^2 x (n^2)^3]: Simplify.

We know the law of exponents which states that

(a x b)^m = a^m x b^m

a^m / a^n = a^m - n

So the problem is (mn)^2 / (m^2 x (n^2)^3]

So we have (mn)^2 / m^2 x n^6

m^2n^2 / m^2 x n^6

n^2 - 6

 n^ - 4

  1 / n^4

After simplifying we get 1 / n^4

Answer 2

Answer:

The Answer is : 1 / n^4

Step by Step Explanation:

The problem is:  

((mn) ^ 2)  / ( m^2) * ((n^2)^3)  

In such type of questions, if the base number is same, then their powers are added or subtracted on the basis of multiplication and division respectively.  

Simplifying the above, we get the following:

= ((mn) ^ 2)  /  (m^2) * (n^6)  

= (m^2)( n^2) / (m^2) * (n^6)  

Canceling m^2 with each other, we get the following:

= (n^2) / (n^6)

So,

= n^2 - 6  

= n^ - 4  

= 1 / n^4  

So the Answer is: 1 / n^4