Find following product: (7 a b) (-5 a b^2 c ) (6 a b c^2 )

Question

Find following product:
$(7 a b) \times\left(-5 a b^2 c\right) \times\left(6 a b c^2\right)$

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Answer

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, $a ^{ m } \times$$a^n=a^{m+n}$
We have:
$(7 a b) \times\left(-5 a b^2 c\right) \times\left(6 a b c^2\right)$
$=\{7 \times(-5) \times 6\} \times(a \times a \times a) \times\left(b \times b^2 \times b\right) \times\left(c \times c^2\right)$
$=\{7 \times(-5) \times 6\} \times\left(a^{1+1+1}\right) \times\left(b^{1+2+1}\right) \times\left(c^{1+2}\right)$
$=-210 a^3 b^4 c^3$
Thus, the answer is $=-210 a^3 b^4 c^3$.

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