Question

Find the value of $2x\times 3x^3{y}^2\times 3y^3{z}^2$

• A. $18x^4{y}^5{z}^2$
• B. $12x^4{y}^5{z}^2$
• C. $18x^2{y}^6{z}^2$
• D. $18x^4{y}^5{z}^3$

Answer 1

The correct option is A $18x^4{y}^5{z}^2$

$2x\times 3x^3{y}^2\times 3y^3{z}^2$

$=(2\times 3\times 3)(x\times x^3)(y^2\times y^3)\left(z^2\right)$

$=18x^4{y}^5{z}^2$, use $a^m\times a^n=a^{m+n}$