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