Question

$2x^{2}yz\times 5x{y}^2{z}^2$= ___________________

• A. $10x^3{y}^3{z}^3$
• B. $7x^2{y}^2{z}^2$
• C. $10x^2{y}^2{z}^2$
• D. $15x^3{y}^3{z}^3$

Answer 1

The correct option is A $10x^3{y}^3{z}^3$

$2x^{2}yz\times 5x{y}^2{z}^2=(2\times 5)(x^2\times x)(y\times y^2)(z\times z^2)$
=$10x^3{y}^3{z}^3$
[$\because a^m\times a^n=a^{(m+n)}$]