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How do you simplify #8a^2 (-2a)^3#?

Answer 1

Ethan Adkins

#64a^5#

#color(blue)(8a^2(-2a)^3#

First simplify #(-2a)^3#

#rarr(-2a)^3=(-2a)(-2a)(-2a)#

#rarr=-8a^3#

So,

#rarr8a^2(-2a)^3=-8a^2(-8a^3)#

Simplify #-8a^2(-8a^3)#

#color(green)(rArr=64a^5#

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Answer 2

Eva Abramson

To simplify (8a^2(-2a)^3), first apply the exponent rules to ((-2a)^3), which gives ((-2)^3 \times a^3). Then, simplify (8a^2) and ( (-2)^3 ) separately. Finally, multiply the simplified terms together.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.