Answer:
The value of this expression when a = 3 and b = -2 is -1.
Step-by-step explanation:
The expression is:
[tex]X=\frac{3a^{-2}b^{6}}{2a^{-1}b^{5}}[/tex]
Compute the value of X for a = 3 and b = -2 as follows:
[tex]X=\frac{3a^{-2}b^{6}}{2a^{-1}b^{5}}[/tex]
[tex]=\frac{3\cdot (3)^{-2}\cdot (-2)^{6}}{2\cdot (3)^{-1}\cdot (-2)^{5}}\\\\=\frac{(3^{-1})\times (-2)^{6}}{2\cdot (3^{-1})\cdot (-2)^{5}}\\\\=\frac{(-2)^{1}}{2}\\\\=-1[/tex]
Thus, the value of this expression when a = 3 and b = -2 is -1.
