Answer:
1/(5x^8y^13)
Step-by-step explanation:
To simplify this exponential expression we must use some of the laws of exponents, specifically the quotient law. The quotient law states that if the base is the same and you're dividing we subtract the exponents and so: [tex]\frac{a^m}{a^n}= a^{m-n}[/tex]
Therefore:
[tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}} =\frac{x^{-6-2}y^{-3-10}}{5}=\frac{x^{-8}y^{-13}}{5}\\ \\\frac{1}{5x^8y^{13}}[/tex]
