Question

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Answer 1

Option A)
`-6r^2s^4t^3` is correct

Therefore the result is
`(18r^4s^5t^6)/(-3r^2st^3)=-6r^2s^4t^3`

Explanation:

Given expression is
`(18r^4s^5t^6)/(-3r^2st^3)`

To find the result of the given expression:

That is solve the fractional expression as below:

`(18r^4s^5t^6)/(-3r^2st^3)`

`(18r^4s^5t^6)/(-3r^2st^3)=(-6r^4s^5t^6)/(r^2st^3)`

`=-6r^4s^5t^6.r^(-2)s^(-1)t^(-3)` ( using the properties
`(1)/(a^m)=a^(-m)` and
`a^m.a^n=a^(m+n)`)

`=-6r^(4-2)s^(5-1)t^(6-3)`

`=-6r^2s^4t^3`

Therefore
`(18r^4s^5t^6)/(-3r^2st^3)=-6r^2s^4t^3`

Therefore the result is
`-6r^2s^4t^3`

Therefore option A)
`-6r^2s^4t^3` is correct