a^2x × a^y=a^3 , (a^3)^x ÷ a^4y=a^32 Find x and y.
You asked:
Given \( {a}^{2} \cdot x \cdot {a}^{y} = {a}^{3} \), \( \frac{{{a}^{3}}^{x}}{{a}^{4} \cdot y} = {a}^{32} \), evaluate \( x \), \( y \).
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}x&=x\\y&=\frac{\left(a^{3}\right)^{x}}{a^{36}}\end{aligned}$$