Question

Which expression is equivalent to -18a^-2b^5/-12a^-4b^-6?

Answer 1

first divide the coefficients:-
-18 / -12 = 3/2

a^-2 / a^-4 = a^2

b^-5 / b^-6 = b


so the expression simplifies to 3a^2b / 2

Answer 2

`(-18a^(-2)b^5)/(-12a^(-4)b^(-6))=(3a^(2)b^(11))/(2)`

Explanation:

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

To find : Which expression is equivalent to given expression?

Solution :

Given expression is

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

Applying the exponent rule of division,
`(x^a)/(x^b) =x^(a-b)`

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

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

Therefore, The required expression is
`(-18a^(-2)b^5)/(-12a^(-4)b^(-6))=(3a^(2)b^(11))/(2)`