Question

What is the result if you divide 18r4s5t6/-3r2st3

A. 6r2s4t3
B. –6r2s5t3
C. –6r2s4t3
D. 6r2s5t3

Answer 1

`(18r^4s^5t^6)/(-3r^2st^3)=(18)/(-3)r^(4-2)s^(5-1)t^(6-3)=-6r^2s^4t^3`

or (C)

Answer 2

Option (C) is correct.

Thus, the result of
`(18r^4s^5t^6)/(-3r^2st^3)=-6r^2s^4t^3`

Explanation:

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

We have to find the value of given expression and choose a correct option from the given options.

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

Apply fraction rule,
`(a)/(-b)=-(a)/(b)`

We have,

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

Divide 18 by 3 , we get 6,

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

Apply exponent rule
`(x^a)/(x^b)\:=\:x^(a-b)`

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

we get,

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

Thus, the result of
`(18r^4s^5t^6)/(-3r^2st^3)=-6r^2s^4t^3`

Option (C) is correct.