Question

Find the values for a and b that would make the following equation true. (ax^2)(-6x^b) = 12x^5

Answer 1

`\left(ax^2\right)\left(-6x^b\right)=12x^5\\\\(-6a)x^(2+b)=12x^5\to -6a=12\ and\ 2+b=5\\\\-6a=12\ \ \ |:(-6)\\a=-2\\\\2+b=5\ \ \ |-2\\b=3`


`Answer:\ a=-2;\ b=3`