How do you simplify $8 a^{2} {(- 2 a)}^{3}$ $8a^2 (-2a)^3$ ?

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Answer 1 · 2016-04-06T02:48:52

$64 a^{5}$ $64a^5$

$8 a^{2} {(- 2 a)}^{3}$ $color(blue)(8a^2(-2a)^3$

First simplify ${(- 2 a)}^{3}$ $(-2a)^3$

$\to {(- 2 a)}^{3} = (- 2 a) (- 2 a) (- 2 a)$ $rarr(-2a)^3=(-2a)(-2a)(-2a)$

$\to = - 8 a^{3}$ $rarr=-8a^3$

So,

$\to 8 a^{2} {(- 2 a)}^{3} = - 8 a^{2} (- 8 a^{3})$ $rarr8a^2(-2a)^3=-8a^2(-8a^3)$

Simplify $- 8 a^{2} (- 8 a^{3})$ $-8a^2(-8a^3)$

$\Rightarrow = 64 a^{5}$ $color(green)(rArr=64a^5$

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