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

Answer:

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

Step-by-step explanation:

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

To simplify the given expression we use exponential property

$\frac{-18}{-12} =\frac{3}{2}$

$\frac{x^m}{x^n} =x^{m-n}$

$\frac{a^{-2}}{a^{-4}} =a^{-2+4}=a^2$

$\frac{b^{5}}{b^{-6}} =b^{5+6}=b^{11}$

We substitute the simplified terms

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

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