Find following product: (-5 a) (-10 a^2 ) (-2 a^3 ) - Vidyadip

Question

Find following product:
$ (-5 a) \times\left(-10 a^2\right) \times\left(-2 a^3\right) $

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Answer

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, $a^m× a^n= a^{m+n}$. We have:
$ (-5 a) \times\left(-10 a^2\right) \times\left(-2 a^3\right) $
$ =[(-5) \times(-10) \times(-2)] \times\left(a \times a^2 \times a^3\right) $
$ =[(-5) \times(-10) \times(-2)] \times\left(a^{1+2+3}\right) $
$ =-100 a^6 $

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