Question
Find the products:
$\left(a b^2\right) \times\left(-b^2 c\right) \times\left(-a^2 c^3\right) \times(-3 a b c)$
$\left(a b^2\right) \times\left(-b^2 c\right) \times\left(-a^2 c^3\right) \times(-3 a b c)$
✓
Answer
$\left(a b^2\right) \times\left(-b^2 c\right) \times\left(-a^2 c^3\right) \times(-3 a b c)$
$=1\left(a b^2\right) \times(-1) b^2 c \times(-1) a^2 c^3 \times(-3) a b c$
$=1 \times(-1)(-1)(-3) a \times a^2 \times a \times b^2 \times b^2 \times b \times c \times c^3 \times c$
$=-3 \times a^{1+2+1} \times b^{2+2+1} \times c^{1+3+1}$
$=-3 a^4 b^5 c^5$
$=1\left(a b^2\right) \times(-1) b^2 c \times(-1) a^2 c^3 \times(-3) a b c$
$=1 \times(-1)(-1)(-3) a \times a^2 \times a \times b^2 \times b^2 \times b \times c \times c^3 \times c$
$=-3 \times a^{1+2+1} \times b^{2+2+1} \times c^{1+3+1}$
$=-3 a^4 b^5 c^5$
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