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

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Answer 1 · 2015-06-11T08:04:07

$12 a^{8}$ $color(red)(12a^8$

$(3 a^{2}) (4 a^{6})$ $(3a^2)(4a^6)$

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

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

How do you simplify (3a^2)(4a^6)(3a2)(4a6)(3a^2)(4a^6)?