Question

Simplify the expression: 6 x6 y5
______
3 x3 y3
A) 2 x1/2 y3/5
B) 2 x2 y5/3
C) 2 x9 y18
D) 2 x3 y2

Answer 1

$\dfrac{6x^6y^5}{3x^3y^3}=\dfrac{6}{3}x^{6-3}y^{5-3}=2x^3y^2\to\boxed{D)}\\\\Used:\\\\\dfrac{a^n}{a^m}=a^{n-m}$