How do you simplify (3a^2)(4a^6)?

Jun 11, 2015

 color(red)(12a^8

Explanation:

$\left(3 {a}^{2}\right) \left(4 {a}^{6}\right)$

Note: color(red)(a^m . a^n = a^(m+n)
Applying the above mentioned property to the exponents of $a$ and $b$

$\left(3 \times 4\right) \times \left({a}^{\textcolor{red}{2 + 6}}\right)$
 = color(red)(12a^8