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

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Answer 1 · 2016-02-16T16:57:10

$= 16 a^{5}$ $=color(blue)(16 a^5$

${(4 a)}^{2} a^{3}$ $color(blue)((4a)^2)a^3$

$= 4^{2} \times a^{2} \times a^{3}$ $=color(blue)(4^2 xx a^2) xx a^3$

$= 16 \times a^{2} \times a^{3}$ $=16xx a^2 xx a^3$

By property:
$a^{m} \times a^{n} = a^{m + n}$ $a^m xx a^n = a^(m+n)$

Applying the above to the exponents of $a$ $a$ :
$= 16 \times a^{(2 + 3)}$ $=16xx a^color(blue)((2+3))$

$= 16 \times a^{5}$ $=16xx a^5$

$= 16 a^{5}$ $=16 a^5$

How do you simplify (4a)2a3(4a)^2a^3?