Divide 12x 4 y 4 by 3x 2 y. A. 4x 6y 5 B. 4x 2y 3 C. 9x 6 D. 9x 2y 3
Accepted Solution
A:
Answer:[tex]\frac{12x^4y^4}{3x^2y}=4x^2y^3[/tex]Step-by-step explanation:Consider an element [tex]a\neq 0[/tex]We know that [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]Here, m and n are exponents and a is a base. Exponent refers to the no. of times a term is multiplied by itself. Another word for exponents is powers. Other Properties of exponents:[tex]a^m\times a^n=a^{m+n}\\a^0=1\\\left ( a^m \right )^n=a^{mn}[/tex]Here, we are required to divide [tex]12x^4y^4[/tex] by [tex]3x^2y[/tex].Consider [tex]\frac{12x^4y^4}{3x^2y}[/tex]We will solve [tex]\frac{12}{3}\,,\,\frac{x^4}{x^2}\,,\,\frac{y^4}{y}[/tex] separately.Here, [tex]\frac{12}{3}=4\\\frac{x^4}{x^2}=x^{4-2}=x^2\\\frac{y^4}{y}=y^3[/tex]So, [tex]\frac{12x^4y^4}{3x^2y}=4x^2y^3[/tex]