Question

What is the quotient of 2m^9n^4/-4m^-3n^-2 in simplest form? assume m=0,n=0

A.-m^-12n^6/2
B.-m^27n^8/2
C.6m^12n^6
D.8m^12n^6

Answer 1

A: -m^-12n^6/2

Explanation:

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Answer 2

The value of the quotient is
`-(m^(12)n^(6))/(2)`.

Explanation:

The given expression is,

`(2m^9n^4)/(-4m^(-3)n^(-2))`

We have to find the quotient of the given expression.

Use the exponent rule,

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

`(2m^9n^4)/(-4m^(-3)n^(-2))=-(m^(9-(-3))n^(4-(-2)))/(2)`

`(2m^9n^4)/(-4m^(-3)n^(-2))=-(m^(9+3)n^(4+2))/(2)`

`(2m^9n^4)/(-4m^(-3)n^(-2))=-(m^(12)n^(6))/(2)`

Therefore the value of the quotient is
`-(m^(12)n^(6))/(2)`.