MATH SOLVE

3 months ago

Q:
# Which expression is equivalent to (x^6 y^8)^3 divided by x^2 y^2

Accepted Solution

A:

Answer:[tex]x^{16}y^{22}[/tex]Step-by-step explanation:The given expression is [tex]\frac{(x^6y^8)^3}{x^2y^2}[/tex]Recall and apply: [tex](a^m)^n=a^{mn}[/tex] to the numerator to obtain;[tex]\frac{x^{6\times 3}y^{8\times 3}}{x^2y^2}[/tex][tex]\frac{x^{18}y^{24}}{x^2y^2}[/tex]Recall that; [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]We apply this property to obtain;[tex]x^{18-2}y^{24-2}=x^{16}y^{22}[/tex]