Question

Simplify:
$9w^3\times 3w^9$

• A. $27w^{27}$
• B. $27w^{12}$
• C. $12w^{12}$

Answer 1

The correct option is B $27w^{12}$

$9w^3\times 3w^9$
Rearranging the terms by first writing the constant terms followed by the variables,
$9w^3\times 3w^9=9\times 3\times w^3\times w^9$
Multiplying the constant terms and adding the exponent of the variable $w$, we get
$9\times 3\times w^3\times w^9=27\times w^{(3+9)}=27w^{12}$