Question

The expression 5x^6y^2/x^8y is equivalent to

Answer 1

$\text{Use:}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}\\\\..........................................\\\\\dfrac{5x^6y^2}{x^8y}=5x^{6-8}y^{2-1}=5x^{-2}y^1\\\\=\boxed{5x^{-2}y=\dfrac{5y}{x^2}}$