Question

1. Which expression is equivalent to 60m 2n6 for all values of m and n where the 5m-on-2 expression is defined? A. 12mns 12n B D. 55m?n mo​

Answer 1

Given:

The expression is:

`(60m^(-2)n^6)/(5m^(-4)n^(-2))`

To find:

The equivalent expression.

Solution:

We have,

`(60m^(-2)n^6)/(5m^(-4)n^(-2))`

It can be written as:

`=(60)/(5)* (m^(-2))/(m^(-4))* (n^6)/(n^(-2))`

`=12* m^(-2-(-4))* n^(6-(-2))`
`[\because (a^m)/(a^n)=a^(m-n)]`

`=12* m^(-2+4)* n^(6+2)`

`=12m^(2)n^(8)`

Therefore, the correct option is A.