Question

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

Answer 1

Answer:

$\frac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\frac{3a^{2}b^{11}}{2}$

Step-by-step explanation:

Given : Expression  $\frac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}$

To find : Which expression is equivalent to given expression?

Solution :

Given expression is

$\frac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}$

Applying the exponent rule of division, $\frac{x^a}{x^b} =x^{a-b}$

$=\frac{-18a^{-2+4}b^{5+6}}{-12}$

$=\frac{3a^{2}b^{11}}{2}$

Therefore, The required expression is $\frac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\frac{3a^{2}b^{11}}{2}$

Answer 2

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