Question

Which expression is equivalent to -18a-2b5/-12a-4b-6? Assume a=0, b=0

Answer 1

Third option from the. Top to the bottom

Answer 2

`(3a^2b^(11))/(2)`

Explanation:

`(-18a^(-2)b^5)/(-12a^(-4)b^(-6))`

To simplify the given expression we use exponential property

`(-18)/(-12) =(3)/(2)`

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

`(a^(-2))/(a^(-4)) =a^(-2+4)=a^2`

`(b^(5))/(b^(-6)) =b^(5+6)=b^(11)`

We substitute the simplified terms

`(-18a^(-2)b^5)/(-12a^(-4)b^(-6))`

`(3a^2b^(11))/(2)`