This one can be tricky, just be sure to only work with like terms. So keep your regular numbers with your regular numbers (for example, 3 in this problem), keep your x's with your x's and your y's with your y's.
We need to make sure that we know a few rules. If you're multiplying the bases, then you add the exponents. For example: [tex] a^{x} *a^{y} = a^{x + y} [/tex]
Dividing the bases means you subtract the exponents: [tex] a^{x} / a^{y} = a^{x - y}[/tex]
And if you raise something with an exponent to another power, you multiply the exponents: [tex] a^{x^{y} } or (a^{x})^{y} = a^{x*y} [/tex]
Applying these concepts, keep everything together, you should be able to group things as such:
[tex] \frac{(3*5)(x^{-2}*x)(y^{-8}*y^{3})}{(x^{-3})^{4}y^{-2}} [/tex]
And simplify:
[tex] \frac{(15)(x^{-1})(y^{-5})}{(x^{-12})y^{-2}} [/tex]
And further:
[tex] {(15)(x^{11})(y^{-3})} [/tex]
So finally:
[tex] 15x^{11}y^{-3} [/tex] is our final answer.
