Question

$2a^{2}b\times 6a{b}^2=$

• A. $12a^3{b}^3$
• B. $12a^2{b}^2$
• C. $8a^2{b}^2$

Answer 1

The correct option is A $12a^3{b}^3$

$2a^{2}b\times 6a{b}^2$
Rearranging the expression by first writing the constant terms, followed by the variable $a$ and then $b$.
$2a^{2}b\times 6a{b}^2=2\times 6\times a^2\times a^1\times b^1\times b^2$
Multiplying the constant term and adding the respective variable's exponent, we get,
$2\times 6\times a^2\times a^1\times b^1\times b^2$
$=12\times a^{(2+1)}\times b^{(1+2)}$
$=12a^3{b}^3$